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Finding the Fourth Proportional to 100,213.61, 138,199.37 and 59,920.97

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Solution

The fourth proportional to 100,213.61, 138,199.37 and 59,920.97 is: 82,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.61 : 138,199.37 = 59,920.97 : x
  2. Step 2: Convert to fraction form
    100,213.61/138,199.37 = 59,920.97/x
  3. Step 3: Cross multiply
    100,213.61x = 138,199.37 × 59,920.97
  4. Step 4: Simplify right side
    100,213.61x = 8,281,039,313.19
  5. Step 5: Solve for x
    x = 8,281,039,313.19/100,213.61
  6. Step 6: Final answer
    x = 82,633.88

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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.