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Finding the Fourth Proportional to 154,389.78, 231,465.95 and 78,425.90

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Solution

The fourth proportional to 154,389.78, 231,465.95 and 78,425.90 is: 117,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,389.78 : 231,465.95 = 78,425.90 : x
  2. Step 2: Convert to fraction form
    154,389.78/231,465.95 = 78,425.90/x
  3. Step 3: Cross multiply
    154,389.78x = 231,465.95 × 78,425.90
  4. Step 4: Simplify right side
    154,389.78x = 18,152,924,189.17
  5. Step 5: Solve for x
    x = 18,152,924,189.17/154,389.78
  6. Step 6: Final answer
    x = 117,578.54

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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.