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Finding the Fourth Proportional to 120,269, 165,970.68 and 69,263.12

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Solution

The fourth proportional to 120,269, 165,970.68 and 69,263.12 is: 95,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,269 : 165,970.68 = 69,263.12 : x
  2. Step 2: Convert to fraction form
    120,269/165,970.68 = 69,263.12/x
  3. Step 3: Cross multiply
    120,269x = 165,970.68 × 69,263.12
  4. Step 4: Simplify right side
    120,269x = 11,495,647,125.32
  5. Step 5: Solve for x
    x = 11,495,647,125.32/120,269
  6. Step 6: Final answer
    x = 95,582.79

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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.