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Finding the Fourth Proportional to 100,661.40, 138,942 and 62,432.64

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Solution

The fourth proportional to 100,661.40, 138,942 and 62,432.64 is: 86,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,661.40 : 138,942 = 62,432.64 : x
  2. Step 2: Convert to fraction form
    100,661.40/138,942 = 62,432.64/x
  3. Step 3: Cross multiply
    100,661.40x = 138,942 × 62,432.64
  4. Step 4: Simplify right side
    100,661.40x = 8,674,515,866.88
  5. Step 5: Solve for x
    x = 8,674,515,866.88/100,661.40
  6. Step 6: Final answer
    x = 86,175.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.