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Finding the Fourth Proportional to 78,276.64, 117,414 and 36,694.24

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Solution

The fourth proportional to 78,276.64, 117,414 and 36,694.24 is: 55,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,276.64 : 117,414 = 36,694.24 : x
  2. Step 2: Convert to fraction form
    78,276.64/117,414 = 36,694.24/x
  3. Step 3: Cross multiply
    78,276.64x = 117,414 × 36,694.24
  4. Step 4: Simplify right side
    78,276.64x = 4,308,417,495.36
  5. Step 5: Solve for x
    x = 4,308,417,495.36/78,276.64
  6. Step 6: Final answer
    x = 55,040.91

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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.