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Finding the Fourth Proportional to 65,805.28, 98,707 and 15,884.96

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Solution

The fourth proportional to 65,805.28, 98,707 and 15,884.96 is: 23,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805.28 : 98,707 = 15,884.96 : x
  2. Step 2: Convert to fraction form
    65,805.28/98,707 = 15,884.96/x
  3. Step 3: Cross multiply
    65,805.28x = 98,707 × 15,884.96
  4. Step 4: Simplify right side
    65,805.28x = 1,567,956,746.72
  5. Step 5: Solve for x
    x = 1,567,956,746.72/65,805.28
  6. Step 6: Final answer
    x = 23,827.22

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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.