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Finding the Fourth Proportional to 102,642.32, 141,607.24 and 62,340.88

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Solution

The fourth proportional to 102,642.32, 141,607.24 and 62,340.88 is: 86,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642.32 : 141,607.24 = 62,340.88 : x
  2. Step 2: Convert to fraction form
    102,642.32/141,607.24 = 62,340.88/x
  3. Step 3: Cross multiply
    102,642.32x = 141,607.24 × 62,340.88
  4. Step 4: Simplify right side
    102,642.32x = 8,827,919,955.97
  5. Step 5: Solve for x
    x = 8,827,919,955.97/102,642.32
  6. Step 6: Final answer
    x = 86,006.63

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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.