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Finding the Fourth Proportional to 141,460, 195,214.80 and 77,801.92

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Solution

The fourth proportional to 141,460, 195,214.80 and 77,801.92 is: 107,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,460 : 195,214.80 = 77,801.92 : x
  2. Step 2: Convert to fraction form
    141,460/195,214.80 = 77,801.92/x
  3. Step 3: Cross multiply
    141,460x = 195,214.80 × 77,801.92
  4. Step 4: Simplify right side
    141,460x = 15,188,086,252.42
  5. Step 5: Solve for x
    x = 15,188,086,252.42/141,460
  6. Step 6: Final answer
    x = 107,366.65

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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.