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Finding the Fourth Proportional to 157,302, 217,076.76 and 90,255.60

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Solution

The fourth proportional to 157,302, 217,076.76 and 90,255.60 is: 124,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,302 : 217,076.76 = 90,255.60 : x
  2. Step 2: Convert to fraction form
    157,302/217,076.76 = 90,255.60/x
  3. Step 3: Cross multiply
    157,302x = 217,076.76 × 90,255.60
  4. Step 4: Simplify right side
    157,302x = 19,592,393,219.86
  5. Step 5: Solve for x
    x = 19,592,393,219.86/157,302
  6. Step 6: Final answer
    x = 124,552.73

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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.