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Finding the Fourth Proportional to 144,978.32, 217,487.76 and 45,145.76

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Solution

The fourth proportional to 144,978.32, 217,487.76 and 45,145.76 is: 67,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,978.32 : 217,487.76 = 45,145.76 : x
  2. Step 2: Convert to fraction form
    144,978.32/217,487.76 = 45,145.76/x
  3. Step 3: Cross multiply
    144,978.32x = 217,487.76 × 45,145.76
  4. Step 4: Simplify right side
    144,978.32x = 9,818,650,215.90
  5. Step 5: Solve for x
    x = 9,818,650,215.90/144,978.32
  6. Step 6: Final answer
    x = 67,724.96

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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.