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Finding the Fourth Proportional to 54,200.70, 81,301.05 and 47,639.70

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Solution

The fourth proportional to 54,200.70, 81,301.05 and 47,639.70 is: 71,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,200.70 : 81,301.05 = 47,639.70 : x
  2. Step 2: Convert to fraction form
    54,200.70/81,301.05 = 47,639.70/x
  3. Step 3: Cross multiply
    54,200.70x = 81,301.05 × 47,639.70
  4. Step 4: Simplify right side
    54,200.70x = 3,873,157,631.69
  5. Step 5: Solve for x
    x = 3,873,157,631.69/54,200.70
  6. Step 6: Final answer
    x = 71,459.55

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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.