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Finding the Fourth Proportional to 227,041.52, 312,990 and 158,847.20

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Solution

The fourth proportional to 227,041.52, 312,990 and 158,847.20 is: 218,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,041.52 : 312,990 = 158,847.20 : x
  2. Step 2: Convert to fraction form
    227,041.52/312,990 = 158,847.20/x
  3. Step 3: Cross multiply
    227,041.52x = 312,990 × 158,847.20
  4. Step 4: Simplify right side
    227,041.52x = 49,717,585,128
  5. Step 5: Solve for x
    x = 49,717,585,128/227,041.52
  6. Step 6: Final answer
    x = 218,980.15

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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.