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Finding the Fourth Proportional to 78,159.08, 107,800 and 67,275.74

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Solution

The fourth proportional to 78,159.08, 107,800 and 67,275.74 is: 92,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159.08 : 107,800 = 67,275.74 : x
  2. Step 2: Convert to fraction form
    78,159.08/107,800 = 67,275.74/x
  3. Step 3: Cross multiply
    78,159.08x = 107,800 × 67,275.74
  4. Step 4: Simplify right side
    78,159.08x = 7,252,324,772.00
  5. Step 5: Solve for x
    x = 7,252,324,772.00/78,159.08
  6. Step 6: Final answer
    x = 92,789.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.