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Finding the Fourth Proportional to 150,307, 207,423.28 and 82,324

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Solution

The fourth proportional to 150,307, 207,423.28 and 82,324 is: 113,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,307 : 207,423.28 = 82,324 : x
  2. Step 2: Convert to fraction form
    150,307/207,423.28 = 82,324/x
  3. Step 3: Cross multiply
    150,307x = 207,423.28 × 82,324
  4. Step 4: Simplify right side
    150,307x = 17,075,914,102.72
  5. Step 5: Solve for x
    x = 17,075,914,102.72/150,307
  6. Step 6: Final answer
    x = 113,606.91

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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.