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Finding the Fourth Proportional to 120,309.64, 166,044.80 and 69,312.44

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Solution

The fourth proportional to 120,309.64, 166,044.80 and 69,312.44 is: 95,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,309.64 : 166,044.80 = 69,312.44 : x
  2. Step 2: Convert to fraction form
    120,309.64/166,044.80 = 69,312.44/x
  3. Step 3: Cross multiply
    120,309.64x = 166,044.80 × 69,312.44
  4. Step 4: Simplify right side
    120,309.64x = 11,508,970,825.71
  5. Step 5: Solve for x
    x = 11,508,970,825.71/120,309.64
  6. Step 6: Final answer
    x = 95,661.25

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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.