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Finding the Fourth Proportional to 83,129.84, 114,719.31 and 47,319.85

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Solution

The fourth proportional to 83,129.84, 114,719.31 and 47,319.85 is: 65,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.84 : 114,719.31 = 47,319.85 : x
  2. Step 2: Convert to fraction form
    83,129.84/114,719.31 = 47,319.85/x
  3. Step 3: Cross multiply
    83,129.84x = 114,719.31 × 47,319.85
  4. Step 4: Simplify right side
    83,129.84x = 5,428,500,541.30
  5. Step 5: Solve for x
    x = 5,428,500,541.30/83,129.84
  6. Step 6: Final answer
    x = 65,301.47

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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.