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Finding the Fourth Proportional to 51,650.87, 77,459.90 and 20,058.74

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Solution

The fourth proportional to 51,650.87, 77,459.90 and 20,058.74 is: 30,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,650.87 : 77,459.90 = 20,058.74 : x
  2. Step 2: Convert to fraction form
    51,650.87/77,459.90 = 20,058.74/x
  3. Step 3: Cross multiply
    51,650.87x = 77,459.90 × 20,058.74
  4. Step 4: Simplify right side
    51,650.87x = 1,553,747,797.41
  5. Step 5: Solve for x
    x = 1,553,747,797.41/51,650.87
  6. Step 6: Final answer
    x = 30,081.74

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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.