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Finding the Fourth Proportional to 83,688.80, 115,451.60 and 53,458.72

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Solution

The fourth proportional to 83,688.80, 115,451.60 and 53,458.72 is: 73,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,688.80 : 115,451.60 = 53,458.72 : x
  2. Step 2: Convert to fraction form
    83,688.80/115,451.60 = 53,458.72/x
  3. Step 3: Cross multiply
    83,688.80x = 115,451.60 × 53,458.72
  4. Step 4: Simplify right side
    83,688.80x = 6,171,894,757.95
  5. Step 5: Solve for x
    x = 6,171,894,757.95/83,688.80
  6. Step 6: Final answer
    x = 73,748.16

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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.