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Finding the Fourth Proportional to 51,516, 77,257.62 and 16,447.50

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Solution

The fourth proportional to 51,516, 77,257.62 and 16,447.50 is: 24,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516 : 77,257.62 = 16,447.50 : x
  2. Step 2: Convert to fraction form
    51,516/77,257.62 = 16,447.50/x
  3. Step 3: Cross multiply
    51,516x = 77,257.62 × 16,447.50
  4. Step 4: Simplify right side
    51,516x = 1,270,694,704.95
  5. Step 5: Solve for x
    x = 1,270,694,704.95/51,516
  6. Step 6: Final answer
    x = 24,666.02

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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.