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Finding the Fourth Proportional to 207,771.60, 286,751.24 and 136,211.92

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Solution

The fourth proportional to 207,771.60, 286,751.24 and 136,211.92 is: 187,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,771.60 : 286,751.24 = 136,211.92 : x
  2. Step 2: Convert to fraction form
    207,771.60/286,751.24 = 136,211.92/x
  3. Step 3: Cross multiply
    207,771.60x = 286,751.24 × 136,211.92
  4. Step 4: Simplify right side
    207,771.60x = 39,058,936,962.78
  5. Step 5: Solve for x
    x = 39,058,936,962.78/207,771.60
  6. Step 6: Final answer
    x = 187,989.78

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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.