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Finding the Fourth Proportional to 157,475.44, 217,335.72 and 90,406

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Solution

The fourth proportional to 157,475.44, 217,335.72 and 90,406 is: 124,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,475.44 : 217,335.72 = 90,406 : x
  2. Step 2: Convert to fraction form
    157,475.44/217,335.72 = 90,406/x
  3. Step 3: Cross multiply
    157,475.44x = 217,335.72 × 90,406
  4. Step 4: Simplify right side
    157,475.44x = 19,648,453,102.32
  5. Step 5: Solve for x
    x = 19,648,453,102.32/157,475.44
  6. Step 6: Final answer
    x = 124,771.54

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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.