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Finding the Fourth Proportional to 65,838.72, 98,761.28 and 21,465.41

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Solution

The fourth proportional to 65,838.72, 98,761.28 and 21,465.41 is: 32,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838.72 : 98,761.28 = 21,465.41 : x
  2. Step 2: Convert to fraction form
    65,838.72/98,761.28 = 21,465.41/x
  3. Step 3: Cross multiply
    65,838.72x = 98,761.28 × 21,465.41
  4. Step 4: Simplify right side
    65,838.72x = 2,119,950,766.19
  5. Step 5: Solve for x
    x = 2,119,950,766.19/65,838.72
  6. Step 6: Final answer
    x = 32,199.15

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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.