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Finding the Fourth Proportional to 218,773.30, 328,196.40 and 85,657.90

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Solution

The fourth proportional to 218,773.30, 328,196.40 and 85,657.90 is: 128,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,773.30 : 328,196.40 = 85,657.90 : x
  2. Step 2: Convert to fraction form
    218,773.30/328,196.40 = 85,657.90/x
  3. Step 3: Cross multiply
    218,773.30x = 328,196.40 × 85,657.90
  4. Step 4: Simplify right side
    218,773.30x = 28,112,614,411.56
  5. Step 5: Solve for x
    x = 28,112,614,411.56/218,773.30
  6. Step 6: Final answer
    x = 128,501.12

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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.