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Finding the Fourth Proportional to 150,228.70, 207,315.78 and 93,640

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Solution

The fourth proportional to 150,228.70, 207,315.78 and 93,640 is: 129,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,228.70 : 207,315.78 = 93,640 : x
  2. Step 2: Convert to fraction form
    150,228.70/207,315.78 = 93,640/x
  3. Step 3: Cross multiply
    150,228.70x = 207,315.78 × 93,640
  4. Step 4: Simplify right side
    150,228.70x = 19,413,049,639.20
  5. Step 5: Solve for x
    x = 19,413,049,639.20/150,228.70
  6. Step 6: Final answer
    x = 129,223.31

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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.