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Finding the Fourth Proportional to 85,211.40, 127,721.10 and 40,859.40

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Solution

The fourth proportional to 85,211.40, 127,721.10 and 40,859.40 is: 61,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,211.40 : 127,721.10 = 40,859.40 : x
  2. Step 2: Convert to fraction form
    85,211.40/127,721.10 = 40,859.40/x
  3. Step 3: Cross multiply
    85,211.40x = 127,721.10 × 40,859.40
  4. Step 4: Simplify right side
    85,211.40x = 5,218,607,513.34
  5. Step 5: Solve for x
    x = 5,218,607,513.34/85,211.40
  6. Step 6: Final answer
    x = 61,243.07

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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.