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Finding the Fourth Proportional to 65,894.12, 90,934.06 and 35,679.50

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Solution

The fourth proportional to 65,894.12, 90,934.06 and 35,679.50 is: 49,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.12 : 90,934.06 = 35,679.50 : x
  2. Step 2: Convert to fraction form
    65,894.12/90,934.06 = 35,679.50/x
  3. Step 3: Cross multiply
    65,894.12x = 90,934.06 × 35,679.50
  4. Step 4: Simplify right side
    65,894.12x = 3,244,481,793.77
  5. Step 5: Solve for x
    x = 3,244,481,793.77/65,894.12
  6. Step 6: Final answer
    x = 49,237.80

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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.