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Finding the Fourth Proportional to 65,521.20, 98,281.80 and 21,149.40

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Solution

The fourth proportional to 65,521.20, 98,281.80 and 21,149.40 is: 31,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,521.20 : 98,281.80 = 21,149.40 : x
  2. Step 2: Convert to fraction form
    65,521.20/98,281.80 = 21,149.40/x
  3. Step 3: Cross multiply
    65,521.20x = 98,281.80 × 21,149.40
  4. Step 4: Simplify right side
    65,521.20x = 2,078,601,100.92
  5. Step 5: Solve for x
    x = 2,078,601,100.92/65,521.20
  6. Step 6: Final answer
    x = 31,724.10

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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.