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Finding the Fourth Proportional to 100,071.42, 138,098.02 and 54,748.59

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Solution

The fourth proportional to 100,071.42, 138,098.02 and 54,748.59 is: 75,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,071.42 : 138,098.02 = 54,748.59 : x
  2. Step 2: Convert to fraction form
    100,071.42/138,098.02 = 54,748.59/x
  3. Step 3: Cross multiply
    100,071.42x = 138,098.02 × 54,748.59
  4. Step 4: Simplify right side
    100,071.42x = 7,560,671,876.79
  5. Step 5: Solve for x
    x = 7,560,671,876.79/100,071.42
  6. Step 6: Final answer
    x = 75,552.76

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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.