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Finding the Fourth Proportional to 99,252, 136,967.76 and 54,540

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Solution

The fourth proportional to 99,252, 136,967.76 and 54,540 is: 75,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,252 : 136,967.76 = 54,540 : x
  2. Step 2: Convert to fraction form
    99,252/136,967.76 = 54,540/x
  3. Step 3: Cross multiply
    99,252x = 136,967.76 × 54,540
  4. Step 4: Simplify right side
    99,252x = 7,470,221,630.40
  5. Step 5: Solve for x
    x = 7,470,221,630.40/99,252
  6. Step 6: Final answer
    x = 75,265.20

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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.