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Finding the Fourth Proportional to 154,686.60, 231,641.10 and 123,582.60

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Solution

The fourth proportional to 154,686.60, 231,641.10 and 123,582.60 is: 185,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,686.60 : 231,641.10 = 123,582.60 : x
  2. Step 2: Convert to fraction form
    154,686.60/231,641.10 = 123,582.60/x
  3. Step 3: Cross multiply
    154,686.60x = 231,641.10 × 123,582.60
  4. Step 4: Simplify right side
    154,686.60x = 28,626,809,404.86
  5. Step 5: Solve for x
    x = 28,626,809,404.86/154,686.60
  6. Step 6: Final answer
    x = 185,063.28

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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.