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Finding the Fourth Proportional to 65,739, 90,721.26 and 35,931

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Solution

The fourth proportional to 65,739, 90,721.26 and 35,931 is: 49,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,739 : 90,721.26 = 35,931 : x
  2. Step 2: Convert to fraction form
    65,739/90,721.26 = 35,931/x
  3. Step 3: Cross multiply
    65,739x = 90,721.26 × 35,931
  4. Step 4: Simplify right side
    65,739x = 3,259,705,593.06
  5. Step 5: Solve for x
    x = 3,259,705,593.06/65,739
  6. Step 6: Final answer
    x = 49,585.57

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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.