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Finding the Fourth Proportional to 218,942.76, 328,282.14 and 85,663.88

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Solution

The fourth proportional to 218,942.76, 328,282.14 and 85,663.88 is: 128,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,942.76 : 328,282.14 = 85,663.88 : x
  2. Step 2: Convert to fraction form
    218,942.76/328,282.14 = 85,663.88/x
  3. Step 3: Cross multiply
    218,942.76x = 328,282.14 × 85,663.88
  4. Step 4: Simplify right side
    218,942.76x = 28,121,921,847.10
  5. Step 5: Solve for x
    x = 28,121,921,847.10/218,942.76
  6. Step 6: Final answer
    x = 128,444.17

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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.