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Finding the Fourth Proportional to 71,893,478.40, 107,840,217.60 and 54,887,366.40

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Solution

The fourth proportional to 71,893,478.40, 107,840,217.60 and 54,887,366.40 is: 82,331,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,893,478.40 : 107,840,217.60 = 54,887,366.40 : x
  2. Step 2: Convert to fraction form
    71,893,478.40/107,840,217.60 = 54,887,366.40/x
  3. Step 3: Cross multiply
    71,893,478.40x = 107,840,217.60 × 54,887,366.40
  4. Step 4: Simplify right side
    71,893,478.40x = 5,919,065,536,066,928
  5. Step 5: Solve for x
    x = 5,919,065,536,066,928/71,893,478.40
  6. Step 6: Final answer
    x = 82,331,049.60

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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.