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Finding the Fourth Proportional to 83,463, 125,243.70 and 30,909.39

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Solution

The fourth proportional to 83,463, 125,243.70 and 30,909.39 is: 46,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,463 : 125,243.70 = 30,909.39 : x
  2. Step 2: Convert to fraction form
    83,463/125,243.70 = 30,909.39/x
  3. Step 3: Cross multiply
    83,463x = 125,243.70 × 30,909.39
  4. Step 4: Simplify right side
    83,463x = 3,871,206,368.34
  5. Step 5: Solve for x
    x = 3,871,206,368.34/83,463
  6. Step 6: Final answer
    x = 46,382.31

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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.