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Finding the Fourth Proportional to 65,707.56, 98,552.70 and 18,965.16

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Solution

The fourth proportional to 65,707.56, 98,552.70 and 18,965.16 is: 28,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,707.56 : 98,552.70 = 18,965.16 : x
  2. Step 2: Convert to fraction form
    65,707.56/98,552.70 = 18,965.16/x
  3. Step 3: Cross multiply
    65,707.56x = 98,552.70 × 18,965.16
  4. Step 4: Simplify right side
    65,707.56x = 1,869,067,723.93
  5. Step 5: Solve for x
    x = 1,869,067,723.93/65,707.56
  6. Step 6: Final answer
    x = 28,445.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.