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Finding the Fourth Proportional to 178,665.90, 267,834.37 and 77,400.32

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Solution

The fourth proportional to 178,665.90, 267,834.37 and 77,400.32 is: 116,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,665.90 : 267,834.37 = 77,400.32 : x
  2. Step 2: Convert to fraction form
    178,665.90/267,834.37 = 77,400.32/x
  3. Step 3: Cross multiply
    178,665.90x = 267,834.37 × 77,400.32
  4. Step 4: Simplify right side
    178,665.90x = 20,730,466,658.35
  5. Step 5: Solve for x
    x = 20,730,466,658.35/178,665.90
  6. Step 6: Final answer
    x = 116,029.23

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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.