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Finding the Fourth Proportional to 99,159, 136,839.42 and 54,447

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Solution

The fourth proportional to 99,159, 136,839.42 and 54,447 is: 75,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,159 : 136,839.42 = 54,447 : x
  2. Step 2: Convert to fraction form
    99,159/136,839.42 = 54,447/x
  3. Step 3: Cross multiply
    99,159x = 136,839.42 × 54,447
  4. Step 4: Simplify right side
    99,159x = 7,450,495,900.74
  5. Step 5: Solve for x
    x = 7,450,495,900.74/99,159
  6. Step 6: Final answer
    x = 75,136.86

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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.