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Finding the Fourth Proportional to 274,142.40, 411,242.40 and 87,110.40

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Solution

The fourth proportional to 274,142.40, 411,242.40 and 87,110.40 is: 130,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,142.40 : 411,242.40 = 87,110.40 : x
  2. Step 2: Convert to fraction form
    274,142.40/411,242.40 = 87,110.40/x
  3. Step 3: Cross multiply
    274,142.40x = 411,242.40 × 87,110.40
  4. Step 4: Simplify right side
    274,142.40x = 35,823,489,960.96
  5. Step 5: Solve for x
    x = 35,823,489,960.96/274,142.40
  6. Step 6: Final answer
    x = 130,674.75

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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.