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Finding the Fourth Proportional to 156,948, 235,422 and 40,212

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Solution

The fourth proportional to 156,948, 235,422 and 40,212 is: 60,318

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 235,422 = 40,212 : x
  2. Step 2: Convert to fraction form
    156,948/235,422 = 40,212/x
  3. Step 3: Cross multiply
    156,948x = 235,422 × 40,212
  4. Step 4: Simplify right side
    156,948x = 9,466,789,464
  5. Step 5: Solve for x
    x = 9,466,789,464/156,948
  6. Step 6: Final answer
    x = 60,318

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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.