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Finding the Fourth Proportional to 65,838.31, 98,747.10 and 21,464.69

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Solution

The fourth proportional to 65,838.31, 98,747.10 and 21,464.69 is: 32,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838.31 : 98,747.10 = 21,464.69 : x
  2. Step 2: Convert to fraction form
    65,838.31/98,747.10 = 21,464.69/x
  3. Step 3: Cross multiply
    65,838.31x = 98,747.10 × 21,464.69
  4. Step 4: Simplify right side
    65,838.31x = 2,119,575,396.16
  5. Step 5: Solve for x
    x = 2,119,575,396.16/65,838.31
  6. Step 6: Final answer
    x = 32,193.65

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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.