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Finding the Fourth Proportional to 218,773.13, 328,159.69 and 71,029.13

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Solution

The fourth proportional to 218,773.13, 328,159.69 and 71,029.13 is: 106,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,773.13 : 328,159.69 = 71,029.13 : x
  2. Step 2: Convert to fraction form
    218,773.13/328,159.69 = 71,029.13/x
  3. Step 3: Cross multiply
    218,773.13x = 328,159.69 × 71,029.13
  4. Step 4: Simplify right side
    218,773.13x = 23,308,895,463.40
  5. Step 5: Solve for x
    x = 23,308,895,463.40/218,773.13
  6. Step 6: Final answer
    x = 106,543.69

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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.