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Finding the Fourth Proportional to 100,259, 138,357.45 and 59,974.46

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Solution

The fourth proportional to 100,259, 138,357.45 and 59,974.46 is: 82,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,259 : 138,357.45 = 59,974.46 : x
  2. Step 2: Convert to fraction form
    100,259/138,357.45 = 59,974.46/x
  3. Step 3: Cross multiply
    100,259x = 138,357.45 × 59,974.46
  4. Step 4: Simplify right side
    100,259x = 8,297,913,350.73
  5. Step 5: Solve for x
    x = 8,297,913,350.73/100,259
  6. Step 6: Final answer
    x = 82,764.77

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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.