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Finding the Fourth Proportional to 100,798.42, 151,153.94 and 30,661.54

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Solution

The fourth proportional to 100,798.42, 151,153.94 and 30,661.54 is: 45,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,798.42 : 151,153.94 = 30,661.54 : x
  2. Step 2: Convert to fraction form
    100,798.42/151,153.94 = 30,661.54/x
  3. Step 3: Cross multiply
    100,798.42x = 151,153.94 × 30,661.54
  4. Step 4: Simplify right side
    100,798.42x = 4,634,612,577.47
  5. Step 5: Solve for x
    x = 4,634,612,577.47/100,798.42
  6. Step 6: Final answer
    x = 45,979.02

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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.