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Finding the Fourth Proportional to 120,159.64, 165,809.19 and 69,158.80

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Solution

The fourth proportional to 120,159.64, 165,809.19 and 69,158.80 is: 95,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,159.64 : 165,809.19 = 69,158.80 : x
  2. Step 2: Convert to fraction form
    120,159.64/165,809.19 = 69,158.80/x
  3. Step 3: Cross multiply
    120,159.64x = 165,809.19 × 69,158.80
  4. Step 4: Simplify right side
    120,159.64x = 11,467,164,609.37
  5. Step 5: Solve for x
    x = 11,467,164,609.37/120,159.64
  6. Step 6: Final answer
    x = 95,432.75

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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.