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Finding the Fourth Proportional to 78,213.66, 117,328.72 and 25,627.24

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Solution

The fourth proportional to 78,213.66, 117,328.72 and 25,627.24 is: 38,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,213.66 : 117,328.72 = 25,627.24 : x
  2. Step 2: Convert to fraction form
    78,213.66/117,328.72 = 25,627.24/x
  3. Step 3: Cross multiply
    78,213.66x = 117,328.72 × 25,627.24
  4. Step 4: Simplify right side
    78,213.66x = 3,006,811,266.33
  5. Step 5: Solve for x
    x = 3,006,811,266.33/78,213.66
  6. Step 6: Final answer
    x = 38,443.56

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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.