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Finding the Fourth Proportional to 51,658.74, 77,488.11 and 20,493.99

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Solution

The fourth proportional to 51,658.74, 77,488.11 and 20,493.99 is: 30,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,658.74 : 77,488.11 = 20,493.99 : x
  2. Step 2: Convert to fraction form
    51,658.74/77,488.11 = 20,493.99/x
  3. Step 3: Cross multiply
    51,658.74x = 77,488.11 × 20,493.99
  4. Step 4: Simplify right side
    51,658.74x = 1,588,040,551.46
  5. Step 5: Solve for x
    x = 1,588,040,551.46/51,658.74
  6. Step 6: Final answer
    x = 30,740.99

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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.