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Finding the Fourth Proportional to 141,805.97, 195,689.72 and 77,275.77

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Solution

The fourth proportional to 141,805.97, 195,689.72 and 77,275.77 is: 106,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,805.97 : 195,689.72 = 77,275.77 : x
  2. Step 2: Convert to fraction form
    141,805.97/195,689.72 = 77,275.77/x
  3. Step 3: Cross multiply
    141,805.97x = 195,689.72 × 77,275.77
  4. Step 4: Simplify right side
    141,805.97x = 15,122,073,794.08
  5. Step 5: Solve for x
    x = 15,122,073,794.08/141,805.97
  6. Step 6: Final answer
    x = 106,639.19

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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.