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Finding the Fourth Proportional to 292,076.70, 403,065.72 and 157,940.70

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Solution

The fourth proportional to 292,076.70, 403,065.72 and 157,940.70 is: 217,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,076.70 : 403,065.72 = 157,940.70 : x
  2. Step 2: Convert to fraction form
    292,076.70/403,065.72 = 157,940.70/x
  3. Step 3: Cross multiply
    292,076.70x = 403,065.72 × 157,940.70
  4. Step 4: Simplify right side
    292,076.70x = 63,660,481,962.80
  5. Step 5: Solve for x
    x = 63,660,481,962.80/292,076.70
  6. Step 6: Final answer
    x = 217,958.10

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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.