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Finding the Fourth Proportional to 138,464.67, 191,078.57 and 78,034.10

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Solution

The fourth proportional to 138,464.67, 191,078.57 and 78,034.10 is: 107,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,464.67 : 191,078.57 = 78,034.10 : x
  2. Step 2: Convert to fraction form
    138,464.67/191,078.57 = 78,034.10/x
  3. Step 3: Cross multiply
    138,464.67x = 191,078.57 × 78,034.10
  4. Step 4: Simplify right side
    138,464.67x = 14,910,643,478.93
  5. Step 5: Solve for x
    x = 14,910,643,478.93/138,464.67
  6. Step 6: Final answer
    x = 107,685.54

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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.