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Finding the Fourth Proportional to 48,205, 72,278.70 and 20,091.16

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Solution

The fourth proportional to 48,205, 72,278.70 and 20,091.16 is: 30,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205 : 72,278.70 = 20,091.16 : x
  2. Step 2: Convert to fraction form
    48,205/72,278.70 = 20,091.16/x
  3. Step 3: Cross multiply
    48,205x = 72,278.70 × 20,091.16
  4. Step 4: Simplify right side
    48,205x = 1,452,162,926.29
  5. Step 5: Solve for x
    x = 1,452,162,926.29/48,205
  6. Step 6: Final answer
    x = 30,124.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.