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Finding the Fourth Proportional to 99,436, 137,223.84 and 54,724

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Solution

The fourth proportional to 99,436, 137,223.84 and 54,724 is: 75,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,436 : 137,223.84 = 54,724 : x
  2. Step 2: Convert to fraction form
    99,436/137,223.84 = 54,724/x
  3. Step 3: Cross multiply
    99,436x = 137,223.84 × 54,724
  4. Step 4: Simplify right side
    99,436x = 7,509,437,420.16
  5. Step 5: Solve for x
    x = 7,509,437,420.16/99,436
  6. Step 6: Final answer
    x = 75,520.31

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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.