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Finding the Fourth Proportional to 80,876.96, 121,328.64 and 25,460

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Solution

The fourth proportional to 80,876.96, 121,328.64 and 25,460 is: 38,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,876.96 : 121,328.64 = 25,460 : x
  2. Step 2: Convert to fraction form
    80,876.96/121,328.64 = 25,460/x
  3. Step 3: Cross multiply
    80,876.96x = 121,328.64 × 25,460
  4. Step 4: Simplify right side
    80,876.96x = 3,089,027,174.40
  5. Step 5: Solve for x
    x = 3,089,027,174.40/80,876.96
  6. Step 6: Final answer
    x = 38,194.16

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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.