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Finding the Fourth Proportional to 157,364.90, 217,163.52 and 85,744.87

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Solution

The fourth proportional to 157,364.90, 217,163.52 and 85,744.87 is: 118,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364.90 : 217,163.52 = 85,744.87 : x
  2. Step 2: Convert to fraction form
    157,364.90/217,163.52 = 85,744.87/x
  3. Step 3: Cross multiply
    157,364.90x = 217,163.52 × 85,744.87
  4. Step 4: Simplify right side
    157,364.90x = 18,620,656,822.27
  5. Step 5: Solve for x
    x = 18,620,656,822.27/157,364.90
  6. Step 6: Final answer
    x = 118,327.89

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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.