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Finding the Fourth Proportional to 37,126, 51,234 and 20,130.52

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Solution

The fourth proportional to 37,126, 51,234 and 20,130.52 is: 27,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,126 : 51,234 = 20,130.52 : x
  2. Step 2: Convert to fraction form
    37,126/51,234 = 20,130.52/x
  3. Step 3: Cross multiply
    37,126x = 51,234 × 20,130.52
  4. Step 4: Simplify right side
    37,126x = 1,031,367,061.68
  5. Step 5: Solve for x
    x = 1,031,367,061.68/37,126
  6. Step 6: Final answer
    x = 27,780.18

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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.