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Finding the Fourth Proportional to 83,470.68, 115,229.43 and 47,653.77

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Solution

The fourth proportional to 83,470.68, 115,229.43 and 47,653.77 is: 65,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,470.68 : 115,229.43 = 47,653.77 : x
  2. Step 2: Convert to fraction form
    83,470.68/115,229.43 = 47,653.77/x
  3. Step 3: Cross multiply
    83,470.68x = 115,229.43 × 47,653.77
  4. Step 4: Simplify right side
    83,470.68x = 5,491,116,754.45
  5. Step 5: Solve for x
    x = 5,491,116,754.45/83,470.68
  6. Step 6: Final answer
    x = 65,784.98

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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.