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Finding the Fourth Proportional to 151,751.90, 209,408.67 and 83,767.20

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Solution

The fourth proportional to 151,751.90, 209,408.67 and 83,767.20 is: 115,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,751.90 : 209,408.67 = 83,767.20 : x
  2. Step 2: Convert to fraction form
    151,751.90/209,408.67 = 83,767.20/x
  3. Step 3: Cross multiply
    151,751.90x = 209,408.67 × 83,767.20
  4. Step 4: Simplify right side
    151,751.90x = 17,541,577,941.62
  5. Step 5: Solve for x
    x = 17,541,577,941.62/151,751.90
  6. Step 6: Final answer
    x = 115,593.80

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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.