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Finding the Fourth Proportional to 72,382.32, 108,608.04 and 25,657.20

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Solution

The fourth proportional to 72,382.32, 108,608.04 and 25,657.20 is: 38,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382.32 : 108,608.04 = 25,657.20 : x
  2. Step 2: Convert to fraction form
    72,382.32/108,608.04 = 25,657.20/x
  3. Step 3: Cross multiply
    72,382.32x = 108,608.04 × 25,657.20
  4. Step 4: Simplify right side
    72,382.32x = 2,786,578,203.89
  5. Step 5: Solve for x
    x = 2,786,578,203.89/72,382.32
  6. Step 6: Final answer
    x = 38,498.05

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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.