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Finding the Fourth Proportional to 99,840.62, 137,785.63 and 54,522.82

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Solution

The fourth proportional to 99,840.62, 137,785.63 and 54,522.82 is: 75,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840.62 : 137,785.63 = 54,522.82 : x
  2. Step 2: Convert to fraction form
    99,840.62/137,785.63 = 54,522.82/x
  3. Step 3: Cross multiply
    99,840.62x = 137,785.63 × 54,522.82
  4. Step 4: Simplify right side
    99,840.62x = 7,512,460,414.15
  5. Step 5: Solve for x
    x = 7,512,460,414.15/99,840.62
  6. Step 6: Final answer
    x = 75,244.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.