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Finding the Fourth Proportional to 100,602,015.20, 150,903,022.80 and 28,798,431.20

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Solution

The fourth proportional to 100,602,015.20, 150,903,022.80 and 28,798,431.20 is: 43,197,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602,015.20 : 150,903,022.80 = 28,798,431.20 : x
  2. Step 2: Convert to fraction form
    100,602,015.20/150,903,022.80 = 28,798,431.20/x
  3. Step 3: Cross multiply
    100,602,015.20x = 150,903,022.80 × 28,798,431.20
  4. Step 4: Simplify right side
    100,602,015.20x = 4,345,770,319,977,831.50
  5. Step 5: Solve for x
    x = 4,345,770,319,977,831.50/100,602,015.20
  6. Step 6: Final answer
    x = 43,197,646.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.