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Finding the Fourth Proportional to 157,909.14, 217,905.36 and 86,289.72

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Solution

The fourth proportional to 157,909.14, 217,905.36 and 86,289.72 is: 119,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,909.14 : 217,905.36 = 86,289.72 : x
  2. Step 2: Convert to fraction form
    157,909.14/217,905.36 = 86,289.72/x
  3. Step 3: Cross multiply
    157,909.14x = 217,905.36 × 86,289.72
  4. Step 4: Simplify right side
    157,909.14x = 18,802,992,500.90
  5. Step 5: Solve for x
    x = 18,802,992,500.90/157,909.14
  6. Step 6: Final answer
    x = 119,074.76

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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.