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Finding the Fourth Proportional to 65,651.85, 98,468.06 and 21,282.48

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Solution

The fourth proportional to 65,651.85, 98,468.06 and 21,282.48 is: 31,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,651.85 : 98,468.06 = 21,282.48 : x
  2. Step 2: Convert to fraction form
    65,651.85/98,468.06 = 21,282.48/x
  3. Step 3: Cross multiply
    65,651.85x = 98,468.06 × 21,282.48
  4. Step 4: Simplify right side
    65,651.85x = 2,095,644,411.18
  5. Step 5: Solve for x
    x = 2,095,644,411.18/65,651.85
  6. Step 6: Final answer
    x = 31,920.57

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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.