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Finding the Fourth Proportional to 102,663.49, 141,666.39 and 57,335.17

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Solution

The fourth proportional to 102,663.49, 141,666.39 and 57,335.17 is: 79,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,663.49 : 141,666.39 = 57,335.17 : x
  2. Step 2: Convert to fraction form
    102,663.49/141,666.39 = 57,335.17/x
  3. Step 3: Cross multiply
    102,663.49x = 141,666.39 × 57,335.17
  4. Step 4: Simplify right side
    102,663.49x = 8,122,466,553.94
  5. Step 5: Solve for x
    x = 8,122,466,553.94/102,663.49
  6. Step 6: Final answer
    x = 79,117.38

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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.