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Finding the Fourth Proportional to 123,894.36, 185,382.27 and 74,001.60

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Solution

The fourth proportional to 123,894.36, 185,382.27 and 74,001.60 is: 110,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,894.36 : 185,382.27 = 74,001.60 : x
  2. Step 2: Convert to fraction form
    123,894.36/185,382.27 = 74,001.60/x
  3. Step 3: Cross multiply
    123,894.36x = 185,382.27 × 74,001.60
  4. Step 4: Simplify right side
    123,894.36x = 13,718,584,591.63
  5. Step 5: Solve for x
    x = 13,718,584,591.63/123,894.36
  6. Step 6: Final answer
    x = 110,728.08

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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.