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Finding the Fourth Proportional to 65,865.94, 98,781.28 and 18,478.20

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Solution

The fourth proportional to 65,865.94, 98,781.28 and 18,478.20 is: 27,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,865.94 : 98,781.28 = 18,478.20 : x
  2. Step 2: Convert to fraction form
    65,865.94/98,781.28 = 18,478.20/x
  3. Step 3: Cross multiply
    65,865.94x = 98,781.28 × 18,478.20
  4. Step 4: Simplify right side
    65,865.94x = 1,825,300,248.10
  5. Step 5: Solve for x
    x = 1,825,300,248.10/65,865.94
  6. Step 6: Final answer
    x = 27,712.35

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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.