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Finding the Fourth Proportional to 65,543.20, 98,304 and 28,109.32

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Solution

The fourth proportional to 65,543.20, 98,304 and 28,109.32 is: 42,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,543.20 : 98,304 = 28,109.32 : x
  2. Step 2: Convert to fraction form
    65,543.20/98,304 = 28,109.32/x
  3. Step 3: Cross multiply
    65,543.20x = 98,304 × 28,109.32
  4. Step 4: Simplify right side
    65,543.20x = 2,763,258,593.28
  5. Step 5: Solve for x
    x = 2,763,258,593.28/65,543.20
  6. Step 6: Final answer
    x = 42,159.35

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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.