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Finding the Fourth Proportional to 149,443.60, 206,033.80 and 123,854

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Solution

The fourth proportional to 149,443.60, 206,033.80 and 123,854 is: 170,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,443.60 : 206,033.80 = 123,854 : x
  2. Step 2: Convert to fraction form
    149,443.60/206,033.80 = 123,854/x
  3. Step 3: Cross multiply
    149,443.60x = 206,033.80 × 123,854
  4. Step 4: Simplify right side
    149,443.60x = 25,518,110,265.20
  5. Step 5: Solve for x
    x = 25,518,110,265.20/149,443.60
  6. Step 6: Final answer
    x = 170,754.12

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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.