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Finding the Fourth Proportional to 141,523.70, 195,295.65 and 77,859.86

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Solution

The fourth proportional to 141,523.70, 195,295.65 and 77,859.86 is: 107,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,523.70 : 195,295.65 = 77,859.86 : x
  2. Step 2: Convert to fraction form
    141,523.70/195,295.65 = 77,859.86/x
  3. Step 3: Cross multiply
    141,523.70x = 195,295.65 × 77,859.86
  4. Step 4: Simplify right side
    141,523.70x = 15,205,691,967.61
  5. Step 5: Solve for x
    x = 15,205,691,967.61/141,523.70
  6. Step 6: Final answer
    x = 107,442.72

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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.