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Finding the Fourth Proportional to 99,742.64, 137,644.16 and 54,420.71

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Solution

The fourth proportional to 99,742.64, 137,644.16 and 54,420.71 is: 75,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,742.64 : 137,644.16 = 54,420.71 : x
  2. Step 2: Convert to fraction form
    99,742.64/137,644.16 = 54,420.71/x
  3. Step 3: Cross multiply
    99,742.64x = 137,644.16 × 54,420.71
  4. Step 4: Simplify right side
    99,742.64x = 7,490,691,954.23
  5. Step 5: Solve for x
    x = 7,490,691,954.23/99,742.64
  6. Step 6: Final answer
    x = 75,100.20

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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.