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Finding the Fourth Proportional to 78,151.65, 107,789.78 and 67,268.32

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Solution

The fourth proportional to 78,151.65, 107,789.78 and 67,268.32 is: 92,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,151.65 : 107,789.78 = 67,268.32 : x
  2. Step 2: Convert to fraction form
    78,151.65/107,789.78 = 67,268.32/x
  3. Step 3: Cross multiply
    78,151.65x = 107,789.78 × 67,268.32
  4. Step 4: Simplify right side
    78,151.65x = 7,250,836,731.64
  5. Step 5: Solve for x
    x = 7,250,836,731.64/78,151.65
  6. Step 6: Final answer
    x = 92,779.06

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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.