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Finding the Fourth Proportional to 138,854.98, 208,142.22 and 54,674.22

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Solution

The fourth proportional to 138,854.98, 208,142.22 and 54,674.22 is: 81,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854.98 : 208,142.22 = 54,674.22 : x
  2. Step 2: Convert to fraction form
    138,854.98/208,142.22 = 54,674.22/x
  3. Step 3: Cross multiply
    138,854.98x = 208,142.22 × 54,674.22
  4. Step 4: Simplify right side
    138,854.98x = 11,380,013,527.57
  5. Step 5: Solve for x
    x = 11,380,013,527.57/138,854.98
  6. Step 6: Final answer
    x = 81,956.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.