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Finding the Fourth Proportional to 181,244.28, 271,978.70 and 105,378.53

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Solution

The fourth proportional to 181,244.28, 271,978.70 and 105,378.53 is: 158,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,244.28 : 271,978.70 = 105,378.53 : x
  2. Step 2: Convert to fraction form
    181,244.28/271,978.70 = 105,378.53/x
  3. Step 3: Cross multiply
    181,244.28x = 271,978.70 × 105,378.53
  4. Step 4: Simplify right side
    181,244.28x = 28,660,713,710.52
  5. Step 5: Solve for x
    x = 28,660,713,710.52/181,244.28
  6. Step 6: Final answer
    x = 158,133.07

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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.