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Finding the Fourth Proportional to 119,978, 165,569.64 and 69,680.24

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Solution

The fourth proportional to 119,978, 165,569.64 and 69,680.24 is: 96,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978 : 165,569.64 = 69,680.24 : x
  2. Step 2: Convert to fraction form
    119,978/165,569.64 = 69,680.24/x
  3. Step 3: Cross multiply
    119,978x = 165,569.64 × 69,680.24
  4. Step 4: Simplify right side
    119,978x = 11,536,932,251.91
  5. Step 5: Solve for x
    x = 11,536,932,251.91/119,978
  6. Step 6: Final answer
    x = 96,158.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.