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Finding the Fourth Proportional to 83,651.76, 115,435.40 and 47,845.71

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Solution

The fourth proportional to 83,651.76, 115,435.40 and 47,845.71 is: 66,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,651.76 : 115,435.40 = 47,845.71 : x
  2. Step 2: Convert to fraction form
    83,651.76/115,435.40 = 47,845.71/x
  3. Step 3: Cross multiply
    83,651.76x = 115,435.40 × 47,845.71
  4. Step 4: Simplify right side
    83,651.76x = 5,523,088,432.91
  5. Step 5: Solve for x
    x = 5,523,088,432.91/83,651.76
  6. Step 6: Final answer
    x = 66,024.77

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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.