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Finding the Fourth Proportional to 65,710.13, 90,679.98 and 35,902.13

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Solution

The fourth proportional to 65,710.13, 90,679.98 and 35,902.13 is: 49,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.13 : 90,679.98 = 35,902.13 : x
  2. Step 2: Convert to fraction form
    65,710.13/90,679.98 = 35,902.13/x
  3. Step 3: Cross multiply
    65,710.13x = 90,679.98 × 35,902.13
  4. Step 4: Simplify right side
    65,710.13x = 3,255,603,976.96
  5. Step 5: Solve for x
    x = 3,255,603,976.96/65,710.13
  6. Step 6: Final answer
    x = 49,544.94

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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.