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Finding the Fourth Proportional to 120,802.29, 181,207.23 and 57,629.28

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Solution

The fourth proportional to 120,802.29, 181,207.23 and 57,629.28 is: 86,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.29 : 181,207.23 = 57,629.28 : x
  2. Step 2: Convert to fraction form
    120,802.29/181,207.23 = 57,629.28/x
  3. Step 3: Cross multiply
    120,802.29x = 181,207.23 × 57,629.28
  4. Step 4: Simplify right side
    120,802.29x = 10,442,842,195.69
  5. Step 5: Solve for x
    x = 10,442,842,195.69/120,802.29
  6. Step 6: Final answer
    x = 86,445.73

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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.