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Finding the Fourth Proportional to 157,687.89, 217,657.56 and 97,277.37

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Solution

The fourth proportional to 157,687.89, 217,657.56 and 97,277.37 is: 134,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,687.89 : 217,657.56 = 97,277.37 : x
  2. Step 2: Convert to fraction form
    157,687.89/217,657.56 = 97,277.37/x
  3. Step 3: Cross multiply
    157,687.89x = 217,657.56 × 97,277.37
  4. Step 4: Simplify right side
    157,687.89x = 21,173,154,997.42
  5. Step 5: Solve for x
    x = 21,173,154,997.42/157,687.89
  6. Step 6: Final answer
    x = 134,272.55

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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.