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Finding the Fourth Proportional to 237,963.46, 356,830.37 and 138,148.78

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Solution

The fourth proportional to 237,963.46, 356,830.37 and 138,148.78 is: 207,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,963.46 : 356,830.37 = 138,148.78 : x
  2. Step 2: Convert to fraction form
    237,963.46/356,830.37 = 138,148.78/x
  3. Step 3: Cross multiply
    237,963.46x = 356,830.37 × 138,148.78
  4. Step 4: Simplify right side
    237,963.46x = 49,295,680,282.45
  5. Step 5: Solve for x
    x = 49,295,680,282.45/237,963.46
  6. Step 6: Final answer
    x = 207,156.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.