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Finding the Fourth Proportional to 157,738, 217,697.52 and 89,771.48

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Solution

The fourth proportional to 157,738, 217,697.52 and 89,771.48 is: 123,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,738 : 217,697.52 = 89,771.48 : x
  2. Step 2: Convert to fraction form
    157,738/217,697.52 = 89,771.48/x
  3. Step 3: Cross multiply
    157,738x = 217,697.52 × 89,771.48
  4. Step 4: Simplify right side
    157,738x = 19,543,028,562.73
  5. Step 5: Solve for x
    x = 19,543,028,562.73/157,738
  6. Step 6: Final answer
    x = 123,895.50

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1.5x scale

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.