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Finding the Fourth Proportional to 181,192.32, 270,568.31 and 147,978.27

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Solution

The fourth proportional to 181,192.32, 270,568.31 and 147,978.27 is: 220,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,192.32 : 270,568.31 = 147,978.27 : x
  2. Step 2: Convert to fraction form
    181,192.32/270,568.31 = 147,978.27/x
  3. Step 3: Cross multiply
    181,192.32x = 270,568.31 × 147,978.27
  4. Step 4: Simplify right side
    181,192.32x = 40,038,229,690.73
  5. Step 5: Solve for x
    x = 40,038,229,690.73/181,192.32
  6. Step 6: Final answer
    x = 220,970.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.