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Finding the Fourth Proportional to 83,599.60, 115,367.46 and 47,790.40

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Solution

The fourth proportional to 83,599.60, 115,367.46 and 47,790.40 is: 65,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,599.60 : 115,367.46 = 47,790.40 : x
  2. Step 2: Convert to fraction form
    83,599.60/115,367.46 = 47,790.40/x
  3. Step 3: Cross multiply
    83,599.60x = 115,367.46 × 47,790.40
  4. Step 4: Simplify right side
    83,599.60x = 5,513,457,060.38
  5. Step 5: Solve for x
    x = 5,513,457,060.38/83,599.60
  6. Step 6: Final answer
    x = 65,950.76

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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.