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Finding the Fourth Proportional to 102,854.96, 141,899.28 and 64,592

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Solution

The fourth proportional to 102,854.96, 141,899.28 and 64,592 is: 89,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854.96 : 141,899.28 = 64,592 : x
  2. Step 2: Convert to fraction form
    102,854.96/141,899.28 = 64,592/x
  3. Step 3: Cross multiply
    102,854.96x = 141,899.28 × 64,592
  4. Step 4: Simplify right side
    102,854.96x = 9,165,558,293.76
  5. Step 5: Solve for x
    x = 9,165,558,293.76/102,854.96
  6. Step 6: Final answer
    x = 89,111.49

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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.