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Finding the Fourth Proportional to 78,494.28, 117,657.56 and 36,325.28

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Solution

The fourth proportional to 78,494.28, 117,657.56 and 36,325.28 is: 54,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.28 : 117,657.56 = 36,325.28 : x
  2. Step 2: Convert to fraction form
    78,494.28/117,657.56 = 36,325.28/x
  3. Step 3: Cross multiply
    78,494.28x = 117,657.56 × 36,325.28
  4. Step 4: Simplify right side
    78,494.28x = 4,273,943,313.64
  5. Step 5: Solve for x
    x = 4,273,943,313.64/78,494.28
  6. Step 6: Final answer
    x = 54,449.11

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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.