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Finding the Fourth Proportional to 65,639.46, 98,468.85 and 21,251.46

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Solution

The fourth proportional to 65,639.46, 98,468.85 and 21,251.46 is: 31,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,639.46 : 98,468.85 = 21,251.46 : x
  2. Step 2: Convert to fraction form
    65,639.46/98,468.85 = 21,251.46/x
  3. Step 3: Cross multiply
    65,639.46x = 98,468.85 × 21,251.46
  4. Step 4: Simplify right side
    65,639.46x = 2,092,606,827.02
  5. Step 5: Solve for x
    x = 2,092,606,827.02/65,639.46
  6. Step 6: Final answer
    x = 31,880.32

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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.