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Finding the Fourth Proportional to 120,077.38, 165,707.31 and 65,630.65

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Solution

The fourth proportional to 120,077.38, 165,707.31 and 65,630.65 is: 90,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,077.38 : 165,707.31 = 65,630.65 : x
  2. Step 2: Convert to fraction form
    120,077.38/165,707.31 = 65,630.65/x
  3. Step 3: Cross multiply
    120,077.38x = 165,707.31 × 65,630.65
  4. Step 4: Simplify right side
    120,077.38x = 10,875,478,465.05
  5. Step 5: Solve for x
    x = 10,875,478,465.05/120,077.38
  6. Step 6: Final answer
    x = 90,570.58

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1.5x scale

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.