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Finding the Fourth Proportional to 65,721.73, 90,695.86 and 35,506.96

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Solution

The fourth proportional to 65,721.73, 90,695.86 and 35,506.96 is: 48,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,721.73 : 90,695.86 = 35,506.96 : x
  2. Step 2: Convert to fraction form
    65,721.73/90,695.86 = 35,506.96/x
  3. Step 3: Cross multiply
    65,721.73x = 90,695.86 × 35,506.96
  4. Step 4: Simplify right side
    65,721.73x = 3,220,334,207.34
  5. Step 5: Solve for x
    x = 3,220,334,207.34/65,721.73
  6. Step 6: Final answer
    x = 48,999.54

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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.