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Finding the Fourth Proportional to 141,073.92, 194,681.48 and 77,412.78

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Solution

The fourth proportional to 141,073.92, 194,681.48 and 77,412.78 is: 106,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,073.92 : 194,681.48 = 77,412.78 : x
  2. Step 2: Convert to fraction form
    141,073.92/194,681.48 = 77,412.78/x
  3. Step 3: Cross multiply
    141,073.92x = 194,681.48 × 77,412.78
  4. Step 4: Simplify right side
    141,073.92x = 15,070,834,194.25
  5. Step 5: Solve for x
    x = 15,070,834,194.25/141,073.92
  6. Step 6: Final answer
    x = 106,829.34

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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.