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Finding the Fourth Proportional to 51,978.65, 77,974.07 and 18,234.35

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Solution

The fourth proportional to 51,978.65, 77,974.07 and 18,234.35 is: 27,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.65 : 77,974.07 = 18,234.35 : x
  2. Step 2: Convert to fraction form
    51,978.65/77,974.07 = 18,234.35/x
  3. Step 3: Cross multiply
    51,978.65x = 77,974.07 × 18,234.35
  4. Step 4: Simplify right side
    51,978.65x = 1,421,806,002.26
  5. Step 5: Solve for x
    x = 1,421,806,002.26/51,978.65
  6. Step 6: Final answer
    x = 27,353.66

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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.