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Finding the Fourth Proportional to 65,707, 90,675.66 and 35,899

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Solution

The fourth proportional to 65,707, 90,675.66 and 35,899 is: 49,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,707 : 90,675.66 = 35,899 : x
  2. Step 2: Convert to fraction form
    65,707/90,675.66 = 35,899/x
  3. Step 3: Cross multiply
    65,707x = 90,675.66 × 35,899
  4. Step 4: Simplify right side
    65,707x = 3,255,165,518.34
  5. Step 5: Solve for x
    x = 3,255,165,518.34/65,707
  6. Step 6: Final answer
    x = 49,540.62

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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.