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Finding the Fourth Proportional to 65,786.29, 98,680.65 and 21,412.87

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Solution

The fourth proportional to 65,786.29, 98,680.65 and 21,412.87 is: 32,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,786.29 : 98,680.65 = 21,412.87 : x
  2. Step 2: Convert to fraction form
    65,786.29/98,680.65 = 21,412.87/x
  3. Step 3: Cross multiply
    65,786.29x = 98,680.65 × 21,412.87
  4. Step 4: Simplify right side
    65,786.29x = 2,113,035,436.56
  5. Step 5: Solve for x
    x = 2,113,035,436.56/65,786.29
  6. Step 6: Final answer
    x = 32,119.70

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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.