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Finding the Fourth Proportional to 150,382, 207,527.21 and 89,955.19

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Solution

The fourth proportional to 150,382, 207,527.21 and 89,955.19 is: 124,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,382 : 207,527.21 = 89,955.19 : x
  2. Step 2: Convert to fraction form
    150,382/207,527.21 = 89,955.19/x
  3. Step 3: Cross multiply
    150,382x = 207,527.21 × 89,955.19
  4. Step 4: Simplify right side
    150,382x = 18,668,149,605.72
  5. Step 5: Solve for x
    x = 18,668,149,605.72/150,382
  6. Step 6: Final answer
    x = 124,138.19

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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.