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Finding the Fourth Proportional to 141,592.92, 195,390.81 and 77,918.43

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Solution

The fourth proportional to 141,592.92, 195,390.81 and 77,918.43 is: 107,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,592.92 : 195,390.81 = 77,918.43 : x
  2. Step 2: Convert to fraction form
    141,592.92/195,390.81 = 77,918.43/x
  3. Step 3: Cross multiply
    141,592.92x = 195,390.81 × 77,918.43
  4. Step 4: Simplify right side
    141,592.92x = 15,224,545,151.63
  5. Step 5: Solve for x
    x = 15,224,545,151.63/141,592.92
  6. Step 6: Final answer
    x = 107,523.35

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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.