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Finding the Fourth Proportional to 81,350.64, 121,689 and 76,374

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Solution

The fourth proportional to 81,350.64, 121,689 and 76,374 is: 114,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,350.64 : 121,689 = 76,374 : x
  2. Step 2: Convert to fraction form
    81,350.64/121,689 = 76,374/x
  3. Step 3: Cross multiply
    81,350.64x = 121,689 × 76,374
  4. Step 4: Simplify right side
    81,350.64x = 9,293,875,686
  5. Step 5: Solve for x
    x = 9,293,875,686/81,350.64
  6. Step 6: Final answer
    x = 114,244.65

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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.