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Finding the Fourth Proportional to 51,972.94, 77,952.22 and 18,688.22

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Solution

The fourth proportional to 51,972.94, 77,952.22 and 18,688.22 is: 28,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972.94 : 77,952.22 = 18,688.22 : x
  2. Step 2: Convert to fraction form
    51,972.94/77,952.22 = 18,688.22/x
  3. Step 3: Cross multiply
    51,972.94x = 77,952.22 × 18,688.22
  4. Step 4: Simplify right side
    51,972.94x = 1,456,788,236.85
  5. Step 5: Solve for x
    x = 1,456,788,236.85/51,972.94
  6. Step 6: Final answer
    x = 28,029.74

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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.