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Finding the Fourth Proportional to 181,644.40, 272,434.20 and 114,965.20

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Solution

The fourth proportional to 181,644.40, 272,434.20 and 114,965.20 is: 172,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,644.40 : 272,434.20 = 114,965.20 : x
  2. Step 2: Convert to fraction form
    181,644.40/272,434.20 = 114,965.20/x
  3. Step 3: Cross multiply
    181,644.40x = 272,434.20 × 114,965.20
  4. Step 4: Simplify right side
    181,644.40x = 31,320,452,289.84
  5. Step 5: Solve for x
    x = 31,320,452,289.84/181,644.40
  6. Step 6: Final answer
    x = 172,427.29

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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.