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Finding the Fourth Proportional to 150,512.56, 207,690.42 and 86,871.40

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Solution

The fourth proportional to 150,512.56, 207,690.42 and 86,871.40 is: 119,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,512.56 : 207,690.42 = 86,871.40 : x
  2. Step 2: Convert to fraction form
    150,512.56/207,690.42 = 86,871.40/x
  3. Step 3: Cross multiply
    150,512.56x = 207,690.42 × 86,871.40
  4. Step 4: Simplify right side
    150,512.56x = 18,042,357,551.99
  5. Step 5: Solve for x
    x = 18,042,357,551.99/150,512.56
  6. Step 6: Final answer
    x = 119,872.77

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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.