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Finding the Fourth Proportional to 123,712.11, 185,554.80 and 83,986.47

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Solution

The fourth proportional to 123,712.11, 185,554.80 and 83,986.47 is: 125,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,712.11 : 185,554.80 = 83,986.47 : x
  2. Step 2: Convert to fraction form
    123,712.11/185,554.80 = 83,986.47/x
  3. Step 3: Cross multiply
    123,712.11x = 185,554.80 × 83,986.47
  4. Step 4: Simplify right side
    123,712.11x = 15,584,092,643.56
  5. Step 5: Solve for x
    x = 15,584,092,643.56/123,712.11
  6. Step 6: Final answer
    x = 125,970.63

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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.