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Finding the Fourth Proportional to 137,640.70, 206,590.65 and 85,152.70

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Solution

The fourth proportional to 137,640.70, 206,590.65 and 85,152.70 is: 127,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640.70 : 206,590.65 = 85,152.70 : x
  2. Step 2: Convert to fraction form
    137,640.70/206,590.65 = 85,152.70/x
  3. Step 3: Cross multiply
    137,640.70x = 206,590.65 × 85,152.70
  4. Step 4: Simplify right side
    137,640.70x = 17,591,751,642.26
  5. Step 5: Solve for x
    x = 17,591,751,642.26/137,640.70
  6. Step 6: Final answer
    x = 127,809.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.