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Finding the Fourth Proportional to 157,548, 236,322 and 40,812

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Solution

The fourth proportional to 157,548, 236,322 and 40,812 is: 61,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,548 : 236,322 = 40,812 : x
  2. Step 2: Convert to fraction form
    157,548/236,322 = 40,812/x
  3. Step 3: Cross multiply
    157,548x = 236,322 × 40,812
  4. Step 4: Simplify right side
    157,548x = 9,644,773,464
  5. Step 5: Solve for x
    x = 9,644,773,464/157,548
  6. Step 6: Final answer
    x = 61,218

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.