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Finding the Fourth Proportional to 150,533.57, 207,736.10 and 86,871.37

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Solution

The fourth proportional to 150,533.57, 207,736.10 and 86,871.37 is: 119,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,533.57 : 207,736.10 = 86,871.37 : x
  2. Step 2: Convert to fraction form
    150,533.57/207,736.10 = 86,871.37/x
  3. Step 3: Cross multiply
    150,533.57x = 207,736.10 × 86,871.37
  4. Step 4: Simplify right side
    150,533.57x = 18,046,318,566.78
  5. Step 5: Solve for x
    x = 18,046,318,566.78/150,533.57
  6. Step 6: Final answer
    x = 119,882.36

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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.