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Finding the Fourth Proportional to 157,072.37, 216,759.78 and 85,452.30

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Solution

The fourth proportional to 157,072.37, 216,759.78 and 85,452.30 is: 117,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,072.37 : 216,759.78 = 85,452.30 : x
  2. Step 2: Convert to fraction form
    157,072.37/216,759.78 = 85,452.30/x
  3. Step 3: Cross multiply
    157,072.37x = 216,759.78 × 85,452.30
  4. Step 4: Simplify right side
    157,072.37x = 18,522,621,748.49
  5. Step 5: Solve for x
    x = 18,522,621,748.49/157,072.37
  6. Step 6: Final answer
    x = 117,924.13

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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.