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Finding the Fourth Proportional to 158,286, 237,429 and 47,478

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Solution

The fourth proportional to 158,286, 237,429 and 47,478 is: 71,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,286 : 237,429 = 47,478 : x
  2. Step 2: Convert to fraction form
    158,286/237,429 = 47,478/x
  3. Step 3: Cross multiply
    158,286x = 237,429 × 47,478
  4. Step 4: Simplify right side
    158,286x = 11,272,654,062
  5. Step 5: Solve for x
    x = 11,272,654,062/158,286
  6. Step 6: Final answer
    x = 71,217

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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.