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Finding the Fourth Proportional to 65,838.48, 98,732.88 and 21,454.80

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Solution

The fourth proportional to 65,838.48, 98,732.88 and 21,454.80 is: 32,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838.48 : 98,732.88 = 21,454.80 : x
  2. Step 2: Convert to fraction form
    65,838.48/98,732.88 = 21,454.80/x
  3. Step 3: Cross multiply
    65,838.48x = 98,732.88 × 21,454.80
  4. Step 4: Simplify right side
    65,838.48x = 2,118,294,193.82
  5. Step 5: Solve for x
    x = 2,118,294,193.82/65,838.48
  6. Step 6: Final answer
    x = 32,174.11

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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.