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Finding the Fourth Proportional to 53,812.70, 80,719.05 and 34,129.70

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Solution

The fourth proportional to 53,812.70, 80,719.05 and 34,129.70 is: 51,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,812.70 : 80,719.05 = 34,129.70 : x
  2. Step 2: Convert to fraction form
    53,812.70/80,719.05 = 34,129.70/x
  3. Step 3: Cross multiply
    53,812.70x = 80,719.05 × 34,129.70
  4. Step 4: Simplify right side
    53,812.70x = 2,754,916,960.79
  5. Step 5: Solve for x
    x = 2,754,916,960.79/53,812.70
  6. Step 6: Final answer
    x = 51,194.55

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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.