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Finding the Fourth Proportional to 81,622.56, 122,446.08 and 25,468.32

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Solution

The fourth proportional to 81,622.56, 122,446.08 and 25,468.32 is: 38,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,622.56 : 122,446.08 = 25,468.32 : x
  2. Step 2: Convert to fraction form
    81,622.56/122,446.08 = 25,468.32/x
  3. Step 3: Cross multiply
    81,622.56x = 122,446.08 × 25,468.32
  4. Step 4: Simplify right side
    81,622.56x = 3,118,495,948.19
  5. Step 5: Solve for x
    x = 3,118,495,948.19/81,622.56
  6. Step 6: Final answer
    x = 38,206.30

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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.