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Finding the Fourth Proportional to 65,674, 90,630.12 and 35,866

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Solution

The fourth proportional to 65,674, 90,630.12 and 35,866 is: 49,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674 : 90,630.12 = 35,866 : x
  2. Step 2: Convert to fraction form
    65,674/90,630.12 = 35,866/x
  3. Step 3: Cross multiply
    65,674x = 90,630.12 × 35,866
  4. Step 4: Simplify right side
    65,674x = 3,250,539,883.92
  5. Step 5: Solve for x
    x = 3,250,539,883.92/65,674
  6. Step 6: Final answer
    x = 49,495.08

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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.