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Finding the Fourth Proportional to 181,397.80, 250,318.25 and 100,822.56

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Solution

The fourth proportional to 181,397.80, 250,318.25 and 100,822.56 is: 139,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,397.80 : 250,318.25 = 100,822.56 : x
  2. Step 2: Convert to fraction form
    181,397.80/250,318.25 = 100,822.56/x
  3. Step 3: Cross multiply
    181,397.80x = 250,318.25 × 100,822.56
  4. Step 4: Simplify right side
    181,397.80x = 25,237,725,024.02
  5. Step 5: Solve for x
    x = 25,237,725,024.02/181,397.80
  6. Step 6: Final answer
    x = 139,129.17

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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.