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Finding the Fourth Proportional to 120,802.54, 181,207.60 and 57,629.56

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Solution

The fourth proportional to 120,802.54, 181,207.60 and 57,629.56 is: 86,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.54 : 181,207.60 = 57,629.56 : x
  2. Step 2: Convert to fraction form
    120,802.54/181,207.60 = 57,629.56/x
  3. Step 3: Cross multiply
    120,802.54x = 181,207.60 × 57,629.56
  4. Step 4: Simplify right side
    120,802.54x = 10,442,914,256.66
  5. Step 5: Solve for x
    x = 10,442,914,256.66/120,802.54
  6. Step 6: Final answer
    x = 86,446.15

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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.