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Finding the Fourth Proportional to 103,781.80, 155,672.70 and 99,231.40

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Solution

The fourth proportional to 103,781.80, 155,672.70 and 99,231.40 is: 148,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,781.80 : 155,672.70 = 99,231.40 : x
  2. Step 2: Convert to fraction form
    103,781.80/155,672.70 = 99,231.40/x
  3. Step 3: Cross multiply
    103,781.80x = 155,672.70 × 99,231.40
  4. Step 4: Simplify right side
    103,781.80x = 15,447,619,962.78
  5. Step 5: Solve for x
    x = 15,447,619,962.78/103,781.80
  6. Step 6: Final answer
    x = 148,847.10

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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.