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Finding the Fourth Proportional to 78,882.72, 118,324.80 and 26,292

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Solution

The fourth proportional to 78,882.72, 118,324.80 and 26,292 is: 39,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,882.72 : 118,324.80 = 26,292 : x
  2. Step 2: Convert to fraction form
    78,882.72/118,324.80 = 26,292/x
  3. Step 3: Cross multiply
    78,882.72x = 118,324.80 × 26,292
  4. Step 4: Simplify right side
    78,882.72x = 3,110,995,641.60
  5. Step 5: Solve for x
    x = 3,110,995,641.60/78,882.72
  6. Step 6: Final answer
    x = 39,438.24

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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.