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Finding the Fourth Proportional to 100,157.65, 138,219.19 and 54,834.84

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Solution

The fourth proportional to 100,157.65, 138,219.19 and 54,834.84 is: 75,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.65 : 138,219.19 = 54,834.84 : x
  2. Step 2: Convert to fraction form
    100,157.65/138,219.19 = 54,834.84/x
  3. Step 3: Cross multiply
    100,157.65x = 138,219.19 × 54,834.84
  4. Step 4: Simplify right side
    100,157.65x = 7,579,227,031.49
  5. Step 5: Solve for x
    x = 7,579,227,031.49/100,157.65
  6. Step 6: Final answer
    x = 75,672.97

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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.