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Finding the Fourth Proportional to 99,257, 136,974.66 and 54,545

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Solution

The fourth proportional to 99,257, 136,974.66 and 54,545 is: 75,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,257 : 136,974.66 = 54,545 : x
  2. Step 2: Convert to fraction form
    99,257/136,974.66 = 54,545/x
  3. Step 3: Cross multiply
    99,257x = 136,974.66 × 54,545
  4. Step 4: Simplify right side
    99,257x = 7,471,282,829.70
  5. Step 5: Solve for x
    x = 7,471,282,829.70/99,257
  6. Step 6: Final answer
    x = 75,272.10

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1.5x scale

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.