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Finding the Fourth Proportional to 154,391.78, 231,468.95 and 78,427.90

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Solution

The fourth proportional to 154,391.78, 231,468.95 and 78,427.90 is: 117,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,391.78 : 231,468.95 = 78,427.90 : x
  2. Step 2: Convert to fraction form
    154,391.78/231,468.95 = 78,427.90/x
  3. Step 3: Cross multiply
    154,391.78x = 231,468.95 × 78,427.90
  4. Step 4: Simplify right side
    154,391.78x = 18,153,623,663.71
  5. Step 5: Solve for x
    x = 18,153,623,663.71/154,391.78
  6. Step 6: Final answer
    x = 117,581.54

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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.