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Finding the Fourth Proportional to 150,422.94, 207,605.43 and 86,748.06

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Solution

The fourth proportional to 150,422.94, 207,605.43 and 86,748.06 is: 119,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,422.94 : 207,605.43 = 86,748.06 : x
  2. Step 2: Convert to fraction form
    150,422.94/207,605.43 = 86,748.06/x
  3. Step 3: Cross multiply
    150,422.94x = 207,605.43 × 86,748.06
  4. Step 4: Simplify right side
    150,422.94x = 18,009,368,297.97
  5. Step 5: Solve for x
    x = 18,009,368,297.97/150,422.94
  6. Step 6: Final answer
    x = 119,724.88

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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.