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Finding the Fourth Proportional to 157,364.31, 217,162.79 and 85,744.35

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Solution

The fourth proportional to 157,364.31, 217,162.79 and 85,744.35 is: 118,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364.31 : 217,162.79 = 85,744.35 : x
  2. Step 2: Convert to fraction form
    157,364.31/217,162.79 = 85,744.35/x
  3. Step 3: Cross multiply
    157,364.31x = 217,162.79 × 85,744.35
  4. Step 4: Simplify right side
    157,364.31x = 18,620,481,844.01
  5. Step 5: Solve for x
    x = 18,620,481,844.01/157,364.31
  6. Step 6: Final answer
    x = 118,327.22

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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.