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Finding the Fourth Proportional to 120,309.71, 180,791.71 and 64,189.47

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Solution

The fourth proportional to 120,309.71, 180,791.71 and 64,189.47 is: 96,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,309.71 : 180,791.71 = 64,189.47 : x
  2. Step 2: Convert to fraction form
    120,309.71/180,791.71 = 64,189.47/x
  3. Step 3: Cross multiply
    120,309.71x = 180,791.71 × 64,189.47
  4. Step 4: Simplify right side
    120,309.71x = 11,604,924,045.29
  5. Step 5: Solve for x
    x = 11,604,924,045.29/120,309.71
  6. Step 6: Final answer
    x = 96,458.75

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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.