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Finding the Fourth Proportional to 83,378.97, 114,985.17 and 53,132.76

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Solution

The fourth proportional to 83,378.97, 114,985.17 and 53,132.76 is: 73,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.97 : 114,985.17 = 53,132.76 : x
  2. Step 2: Convert to fraction form
    83,378.97/114,985.17 = 53,132.76/x
  3. Step 3: Cross multiply
    83,378.97x = 114,985.17 × 53,132.76
  4. Step 4: Simplify right side
    83,378.97x = 6,109,479,441.17
  5. Step 5: Solve for x
    x = 6,109,479,441.17/83,378.97
  6. Step 6: Final answer
    x = 73,273.63

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