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Finding the Fourth Proportional to 78,247.81, 117,380.89 and 24,921.10

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Solution

The fourth proportional to 78,247.81, 117,380.89 and 24,921.10 is: 37,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,247.81 : 117,380.89 = 24,921.10 : x
  2. Step 2: Convert to fraction form
    78,247.81/117,380.89 = 24,921.10/x
  3. Step 3: Cross multiply
    78,247.81x = 117,380.89 × 24,921.10
  4. Step 4: Simplify right side
    78,247.81x = 2,925,260,897.78
  5. Step 5: Solve for x
    x = 2,925,260,897.78/78,247.81
  6. Step 6: Final answer
    x = 37,384.57

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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.