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Finding the Fourth Proportional to 65,976.84, 98,965.26 and 54,254.52

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Solution

The fourth proportional to 65,976.84, 98,965.26 and 54,254.52 is: 81,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976.84 : 98,965.26 = 54,254.52 : x
  2. Step 2: Convert to fraction form
    65,976.84/98,965.26 = 54,254.52/x
  3. Step 3: Cross multiply
    65,976.84x = 98,965.26 × 54,254.52
  4. Step 4: Simplify right side
    65,976.84x = 5,369,312,677.98
  5. Step 5: Solve for x
    x = 5,369,312,677.98/65,976.84
  6. Step 6: Final answer
    x = 81,381.78

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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.