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Finding the Fourth Proportional to 134,549.96, 201,433.97 and 78,218.31

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Solution

The fourth proportional to 134,549.96, 201,433.97 and 78,218.31 is: 117,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,549.96 : 201,433.97 = 78,218.31 : x
  2. Step 2: Convert to fraction form
    134,549.96/201,433.97 = 78,218.31/x
  3. Step 3: Cross multiply
    134,549.96x = 201,433.97 × 78,218.31
  4. Step 4: Simplify right side
    134,549.96x = 15,755,824,318.90
  5. Step 5: Solve for x
    x = 15,755,824,318.90/134,549.96
  6. Step 6: Final answer
    x = 117,100.18

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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.