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Finding the Fourth Proportional to 157,285.70, 235,961.31 and 52,112.90

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Solution

The fourth proportional to 157,285.70, 235,961.31 and 52,112.90 is: 78,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,285.70 : 235,961.31 = 52,112.90 : x
  2. Step 2: Convert to fraction form
    157,285.70/235,961.31 = 52,112.90/x
  3. Step 3: Cross multiply
    157,285.70x = 235,961.31 × 52,112.90
  4. Step 4: Simplify right side
    157,285.70x = 12,296,628,151.90
  5. Step 5: Solve for x
    x = 12,296,628,151.90/157,285.70
  6. Step 6: Final answer
    x = 78,180.20

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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.