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Finding the Fourth Proportional to 100,137.48, 150,040.31 and 70,410.08

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Solution

The fourth proportional to 100,137.48, 150,040.31 and 70,410.08 is: 105,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,137.48 : 150,040.31 = 70,410.08 : x
  2. Step 2: Convert to fraction form
    100,137.48/150,040.31 = 70,410.08/x
  3. Step 3: Cross multiply
    100,137.48x = 150,040.31 × 70,410.08
  4. Step 4: Simplify right side
    100,137.48x = 10,564,349,128.07
  5. Step 5: Solve for x
    x = 10,564,349,128.07/100,137.48
  6. Step 6: Final answer
    x = 105,498.45

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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.