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Finding the Fourth Proportional to 65,612.87, 98,419.77 and 28,141.32

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Solution

The fourth proportional to 65,612.87, 98,419.77 and 28,141.32 is: 42,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,612.87 : 98,419.77 = 28,141.32 : x
  2. Step 2: Convert to fraction form
    65,612.87/98,419.77 = 28,141.32/x
  3. Step 3: Cross multiply
    65,612.87x = 98,419.77 × 28,141.32
  4. Step 4: Simplify right side
    65,612.87x = 2,769,662,241.90
  5. Step 5: Solve for x
    x = 2,769,662,241.90/65,612.87
  6. Step 6: Final answer
    x = 42,212.18

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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.