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Finding the Fourth Proportional to 181,866.30, 272,799.45 and 82,139.10

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Solution

The fourth proportional to 181,866.30, 272,799.45 and 82,139.10 is: 123,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,866.30 : 272,799.45 = 82,139.10 : x
  2. Step 2: Convert to fraction form
    181,866.30/272,799.45 = 82,139.10/x
  3. Step 3: Cross multiply
    181,866.30x = 272,799.45 × 82,139.10
  4. Step 4: Simplify right side
    181,866.30x = 22,407,501,303.50
  5. Step 5: Solve for x
    x = 22,407,501,303.50/181,866.30
  6. Step 6: Final answer
    x = 123,208.65

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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.