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Finding the Fourth Proportional to 141,419.95, 195,159.49 and 77,761.87

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Solution

The fourth proportional to 141,419.95, 195,159.49 and 77,761.87 is: 107,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,419.95 : 195,159.49 = 77,761.87 : x
  2. Step 2: Convert to fraction form
    141,419.95/195,159.49 = 77,761.87/x
  3. Step 3: Cross multiply
    141,419.95x = 195,159.49 × 77,761.87
  4. Step 4: Simplify right side
    141,419.95x = 15,175,966,890.65
  5. Step 5: Solve for x
    x = 15,175,966,890.65/141,419.95
  6. Step 6: Final answer
    x = 107,311.36

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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.