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Finding the Fourth Proportional to 99,177, 136,864.26 and 54,465

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Solution

The fourth proportional to 99,177, 136,864.26 and 54,465 is: 75,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,177 : 136,864.26 = 54,465 : x
  2. Step 2: Convert to fraction form
    99,177/136,864.26 = 54,465/x
  3. Step 3: Cross multiply
    99,177x = 136,864.26 × 54,465
  4. Step 4: Simplify right side
    99,177x = 7,454,311,920.90
  5. Step 5: Solve for x
    x = 7,454,311,920.90/99,177
  6. Step 6: Final answer
    x = 75,161.70

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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.