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Finding the Fourth Proportional to 159,437.76, 239,156.64 and 138,909.12

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Solution

The fourth proportional to 159,437.76, 239,156.64 and 138,909.12 is: 208,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,437.76 : 239,156.64 = 138,909.12 : x
  2. Step 2: Convert to fraction form
    159,437.76/239,156.64 = 138,909.12/x
  3. Step 3: Cross multiply
    159,437.76x = 239,156.64 × 138,909.12
  4. Step 4: Simplify right side
    159,437.76x = 33,221,038,404.56
  5. Step 5: Solve for x
    x = 33,221,038,404.56/159,437.76
  6. Step 6: Final answer
    x = 208,363.68

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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.