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Finding the Fourth Proportional to 65,884.20, 90,920.13 and 35,669.49

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Solution

The fourth proportional to 65,884.20, 90,920.13 and 35,669.49 is: 49,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.20 : 90,920.13 = 35,669.49 : x
  2. Step 2: Convert to fraction form
    65,884.20/90,920.13 = 35,669.49/x
  3. Step 3: Cross multiply
    65,884.20x = 90,920.13 × 35,669.49
  4. Step 4: Simplify right side
    65,884.20x = 3,243,074,667.83
  5. Step 5: Solve for x
    x = 3,243,074,667.83/65,884.20
  6. Step 6: Final answer
    x = 49,223.86

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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.