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Finding the Fourth Proportional to 65,411.92, 98,121.16 and 18,671.68

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Solution

The fourth proportional to 65,411.92, 98,121.16 and 18,671.68 is: 28,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,411.92 : 98,121.16 = 18,671.68 : x
  2. Step 2: Convert to fraction form
    65,411.92/98,121.16 = 18,671.68/x
  3. Step 3: Cross multiply
    65,411.92x = 98,121.16 × 18,671.68
  4. Step 4: Simplify right side
    65,411.92x = 1,832,086,900.75
  5. Step 5: Solve for x
    x = 1,832,086,900.75/65,411.92
  6. Step 6: Final answer
    x = 28,008.46

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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.