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Finding the Fourth Proportional to 115,732.88, 159,723.24 and 70,414.12

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Solution

The fourth proportional to 115,732.88, 159,723.24 and 70,414.12 is: 97,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,732.88 : 159,723.24 = 70,414.12 : x
  2. Step 2: Convert to fraction form
    115,732.88/159,723.24 = 70,414.12/x
  3. Step 3: Cross multiply
    115,732.88x = 159,723.24 × 70,414.12
  4. Step 4: Simplify right side
    115,732.88x = 11,246,771,388.15
  5. Step 5: Solve for x
    x = 11,246,771,388.15/115,732.88
  6. Step 6: Final answer
    x = 97,178.70

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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.