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Finding the Fourth Proportional to 141,397.50, 195,129.81 and 76,866.86

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Solution

The fourth proportional to 141,397.50, 195,129.81 and 76,866.86 is: 106,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,397.50 : 195,129.81 = 76,866.86 : x
  2. Step 2: Convert to fraction form
    141,397.50/195,129.81 = 76,866.86/x
  3. Step 3: Cross multiply
    141,397.50x = 195,129.81 × 76,866.86
  4. Step 4: Simplify right side
    141,397.50x = 14,999,015,787.10
  5. Step 5: Solve for x
    x = 14,999,015,787.10/141,397.50
  6. Step 6: Final answer
    x = 106,076.95

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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.