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Finding the Fourth Proportional to 98,727.40, 147,872.40 and 81,231.40

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Solution

The fourth proportional to 98,727.40, 147,872.40 and 81,231.40 is: 121,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,727.40 : 147,872.40 = 81,231.40 : x
  2. Step 2: Convert to fraction form
    98,727.40/147,872.40 = 81,231.40/x
  3. Step 3: Cross multiply
    98,727.40x = 147,872.40 × 81,231.40
  4. Step 4: Simplify right side
    98,727.40x = 12,011,882,073.36
  5. Step 5: Solve for x
    x = 12,011,882,073.36/98,727.40
  6. Step 6: Final answer
    x = 121,667.16

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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.