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Finding the Fourth Proportional to 140,489.84, 210,734.52 and 65,584.88

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Solution

The fourth proportional to 140,489.84, 210,734.52 and 65,584.88 is: 98,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,489.84 : 210,734.52 = 65,584.88 : x
  2. Step 2: Convert to fraction form
    140,489.84/210,734.52 = 65,584.88/x
  3. Step 3: Cross multiply
    140,489.84x = 210,734.52 × 65,584.88
  4. Step 4: Simplify right side
    140,489.84x = 13,820,998,206.06
  5. Step 5: Solve for x
    x = 13,820,998,206.06/140,489.84
  6. Step 6: Final answer
    x = 98,377.21

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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.