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Finding the Fourth Proportional to 83,400.53, 115,092.78 and 45,674.78

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Solution

The fourth proportional to 83,400.53, 115,092.78 and 45,674.78 is: 63,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,400.53 : 115,092.78 = 45,674.78 : x
  2. Step 2: Convert to fraction form
    83,400.53/115,092.78 = 45,674.78/x
  3. Step 3: Cross multiply
    83,400.53x = 115,092.78 × 45,674.78
  4. Step 4: Simplify right side
    83,400.53x = 5,256,837,406.09
  5. Step 5: Solve for x
    x = 5,256,837,406.09/83,400.53
  6. Step 6: Final answer
    x = 63,031.22

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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.