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Finding the Fourth Proportional to 86,781.50, 119,724.24 and 54,497.13

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Solution

The fourth proportional to 86,781.50, 119,724.24 and 54,497.13 is: 75,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781.50 : 119,724.24 = 54,497.13 : x
  2. Step 2: Convert to fraction form
    86,781.50/119,724.24 = 54,497.13/x
  3. Step 3: Cross multiply
    86,781.50x = 119,724.24 × 54,497.13
  4. Step 4: Simplify right side
    86,781.50x = 6,524,626,872.81
  5. Step 5: Solve for x
    x = 6,524,626,872.81/86,781.50
  6. Step 6: Final answer
    x = 75,184.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.