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Finding the Fourth Proportional to 218,874.30, 328,056.30 and 100,557.60

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Solution

The fourth proportional to 218,874.30, 328,056.30 and 100,557.60 is: 150,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,874.30 : 328,056.30 = 100,557.60 : x
  2. Step 2: Convert to fraction form
    218,874.30/328,056.30 = 100,557.60/x
  3. Step 3: Cross multiply
    218,874.30x = 328,056.30 × 100,557.60
  4. Step 4: Simplify right side
    218,874.30x = 32,988,554,192.88
  5. Step 5: Solve for x
    x = 32,988,554,192.88/218,874.30
  6. Step 6: Final answer
    x = 150,719.18

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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.