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Finding the Fourth Proportional to 119,144.95, 178,791.29 and 69,248.55

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Solution

The fourth proportional to 119,144.95, 178,791.29 and 69,248.55 is: 103,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,144.95 : 178,791.29 = 69,248.55 : x
  2. Step 2: Convert to fraction form
    119,144.95/178,791.29 = 69,248.55/x
  3. Step 3: Cross multiply
    119,144.95x = 178,791.29 × 69,248.55
  4. Step 4: Simplify right side
    119,144.95x = 12,381,037,552.86
  5. Step 5: Solve for x
    x = 12,381,037,552.86/119,144.95
  6. Step 6: Final answer
    x = 103,915.75

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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.