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Finding the Fourth Proportional to 54,909.40, 82,461.30 and 42,459.70

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Solution

The fourth proportional to 54,909.40, 82,461.30 and 42,459.70 is: 63,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909.40 : 82,461.30 = 42,459.70 : x
  2. Step 2: Convert to fraction form
    54,909.40/82,461.30 = 42,459.70/x
  3. Step 3: Cross multiply
    54,909.40x = 82,461.30 × 42,459.70
  4. Step 4: Simplify right side
    54,909.40x = 3,501,282,059.61
  5. Step 5: Solve for x
    x = 3,501,282,059.61/54,909.40
  6. Step 6: Final answer
    x = 63,764.71

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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.