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Finding the Fourth Proportional to 45,909.60, 68,864.40 and 31,912.80

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Solution

The fourth proportional to 45,909.60, 68,864.40 and 31,912.80 is: 47,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,909.60 : 68,864.40 = 31,912.80 : x
  2. Step 2: Convert to fraction form
    45,909.60/68,864.40 = 31,912.80/x
  3. Step 3: Cross multiply
    45,909.60x = 68,864.40 × 31,912.80
  4. Step 4: Simplify right side
    45,909.60x = 2,197,655,824.32
  5. Step 5: Solve for x
    x = 2,197,655,824.32/45,909.60
  6. Step 6: Final answer
    x = 47,869.20

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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.