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Finding the Fourth Proportional to 81,426.78, 121,340.52 and 78,751.08

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Solution

The fourth proportional to 81,426.78, 121,340.52 and 78,751.08 is: 117,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,426.78 : 121,340.52 = 78,751.08 : x
  2. Step 2: Convert to fraction form
    81,426.78/121,340.52 = 78,751.08/x
  3. Step 3: Cross multiply
    81,426.78x = 121,340.52 × 78,751.08
  4. Step 4: Simplify right side
    81,426.78x = 9,555,696,997.76
  5. Step 5: Solve for x
    x = 9,555,696,997.76/81,426.78
  6. Step 6: Final answer
    x = 117,353.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.