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Finding the Fourth Proportional to 81,346.32, 122,023.80 and 25,225.20

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Solution

The fourth proportional to 81,346.32, 122,023.80 and 25,225.20 is: 37,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,346.32 : 122,023.80 = 25,225.20 : x
  2. Step 2: Convert to fraction form
    81,346.32/122,023.80 = 25,225.20/x
  3. Step 3: Cross multiply
    81,346.32x = 122,023.80 × 25,225.20
  4. Step 4: Simplify right side
    81,346.32x = 3,078,074,759.76
  5. Step 5: Solve for x
    x = 3,078,074,759.76/81,346.32
  6. Step 6: Final answer
    x = 37,839.14

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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.