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Finding the Fourth Proportional to 150,231.84, 207,313.20 and 86,578.80

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Solution

The fourth proportional to 150,231.84, 207,313.20 and 86,578.80 is: 119,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,231.84 : 207,313.20 = 86,578.80 : x
  2. Step 2: Convert to fraction form
    150,231.84/207,313.20 = 86,578.80/x
  3. Step 3: Cross multiply
    150,231.84x = 207,313.20 × 86,578.80
  4. Step 4: Simplify right side
    150,231.84x = 17,948,928,080.16
  5. Step 5: Solve for x
    x = 17,948,928,080.16/150,231.84
  6. Step 6: Final answer
    x = 119,474.86

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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.