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Finding the Fourth Proportional to 100,074.66, 138,077.10 and 59,770.68

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Solution

The fourth proportional to 100,074.66, 138,077.10 and 59,770.68 is: 82,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,074.66 : 138,077.10 = 59,770.68 : x
  2. Step 2: Convert to fraction form
    100,074.66/138,077.10 = 59,770.68/x
  3. Step 3: Cross multiply
    100,074.66x = 138,077.10 × 59,770.68
  4. Step 4: Simplify right side
    100,074.66x = 8,252,962,159.43
  5. Step 5: Solve for x
    x = 8,252,962,159.43/100,074.66
  6. Step 6: Final answer
    x = 82,468.05

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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.