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Finding the Fourth Proportional to 65,411.52, 98,126.88 and 21,023.64

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Solution

The fourth proportional to 65,411.52, 98,126.88 and 21,023.64 is: 31,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,411.52 : 98,126.88 = 21,023.64 : x
  2. Step 2: Convert to fraction form
    65,411.52/98,126.88 = 21,023.64/x
  3. Step 3: Cross multiply
    65,411.52x = 98,126.88 × 21,023.64
  4. Step 4: Simplify right side
    65,411.52x = 2,062,984,199.44
  5. Step 5: Solve for x
    x = 2,062,984,199.44/65,411.52
  6. Step 6: Final answer
    x = 31,538.55

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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.