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Finding the Fourth Proportional to 81,002.32, 121,507.80 and 25,594

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Solution

The fourth proportional to 81,002.32, 121,507.80 and 25,594 is: 38,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,002.32 : 121,507.80 = 25,594 : x
  2. Step 2: Convert to fraction form
    81,002.32/121,507.80 = 25,594/x
  3. Step 3: Cross multiply
    81,002.32x = 121,507.80 × 25,594
  4. Step 4: Simplify right side
    81,002.32x = 3,109,870,633.20
  5. Step 5: Solve for x
    x = 3,109,870,633.20/81,002.32
  6. Step 6: Final answer
    x = 38,392.36

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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.