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Finding the Fourth Proportional to 51,287.98, 70,672.32 and 37,837.90

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Solution

The fourth proportional to 51,287.98, 70,672.32 and 37,837.90 is: 52,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,287.98 : 70,672.32 = 37,837.90 : x
  2. Step 2: Convert to fraction form
    51,287.98/70,672.32 = 37,837.90/x
  3. Step 3: Cross multiply
    51,287.98x = 70,672.32 × 37,837.90
  4. Step 4: Simplify right side
    51,287.98x = 2,674,092,176.93
  5. Step 5: Solve for x
    x = 2,674,092,176.93/51,287.98
  6. Step 6: Final answer
    x = 52,138.77

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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.