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Finding the Fourth Proportional to 135,441.60, 203,006.40 and 72,981.12

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Solution

The fourth proportional to 135,441.60, 203,006.40 and 72,981.12 is: 109,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,441.60 : 203,006.40 = 72,981.12 : x
  2. Step 2: Convert to fraction form
    135,441.60/203,006.40 = 72,981.12/x
  3. Step 3: Cross multiply
    135,441.60x = 203,006.40 × 72,981.12
  4. Step 4: Simplify right side
    135,441.60x = 14,815,634,439.17
  5. Step 5: Solve for x
    x = 14,815,634,439.17/135,441.60
  6. Step 6: Final answer
    x = 109,387.62

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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.