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Finding the Fourth Proportional to 78,469.48, 117,488.55 and 54,800.68

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Solution

The fourth proportional to 78,469.48, 117,488.55 and 54,800.68 is: 82,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469.48 : 117,488.55 = 54,800.68 : x
  2. Step 2: Convert to fraction form
    78,469.48/117,488.55 = 54,800.68/x
  3. Step 3: Cross multiply
    78,469.48x = 117,488.55 × 54,800.68
  4. Step 4: Simplify right side
    78,469.48x = 6,438,452,432.21
  5. Step 5: Solve for x
    x = 6,438,452,432.21/78,469.48
  6. Step 6: Final answer
    x = 82,050.40

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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.