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Finding the Fourth Proportional to 76,906.60, 115,331.10 and 53,463.40

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Solution

The fourth proportional to 76,906.60, 115,331.10 and 53,463.40 is: 80,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,906.60 : 115,331.10 = 53,463.40 : x
  2. Step 2: Convert to fraction form
    76,906.60/115,331.10 = 53,463.40/x
  3. Step 3: Cross multiply
    76,906.60x = 115,331.10 × 53,463.40
  4. Step 4: Simplify right side
    76,906.60x = 6,165,992,731.74
  5. Step 5: Solve for x
    x = 6,165,992,731.74/76,906.60
  6. Step 6: Final answer
    x = 80,175.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.