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Finding the Fourth Proportional to 102,487.88, 141,433.49 and 57,164.70

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Solution

The fourth proportional to 102,487.88, 141,433.49 and 57,164.70 is: 78,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,487.88 : 141,433.49 = 57,164.70 : x
  2. Step 2: Convert to fraction form
    102,487.88/141,433.49 = 57,164.70/x
  3. Step 3: Cross multiply
    102,487.88x = 141,433.49 × 57,164.70
  4. Step 4: Simplify right side
    102,487.88x = 8,085,002,344.97
  5. Step 5: Solve for x
    x = 8,085,002,344.97/102,487.88
  6. Step 6: Final answer
    x = 78,887.40

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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.