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Finding the Fourth Proportional to 123,534.40, 185,301.60 and 111,724.60

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Solution

The fourth proportional to 123,534.40, 185,301.60 and 111,724.60 is: 167,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,534.40 : 185,301.60 = 111,724.60 : x
  2. Step 2: Convert to fraction form
    123,534.40/185,301.60 = 111,724.60/x
  3. Step 3: Cross multiply
    123,534.40x = 185,301.60 × 111,724.60
  4. Step 4: Simplify right side
    123,534.40x = 20,702,747,139.36
  5. Step 5: Solve for x
    x = 20,702,747,139.36/123,534.40
  6. Step 6: Final answer
    x = 167,586.90

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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.