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Finding the Fourth Proportional to 100,576.74, 138,795.32 and 55,253.74

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Solution

The fourth proportional to 100,576.74, 138,795.32 and 55,253.74 is: 76,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,576.74 : 138,795.32 = 55,253.74 : x
  2. Step 2: Convert to fraction form
    100,576.74/138,795.32 = 55,253.74/x
  3. Step 3: Cross multiply
    100,576.74x = 138,795.32 × 55,253.74
  4. Step 4: Simplify right side
    100,576.74x = 7,668,960,871.49
  5. Step 5: Solve for x
    x = 7,668,960,871.49/100,576.74
  6. Step 6: Final answer
    x = 76,249.85

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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.