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Finding the Fourth Proportional to 51,863.60, 77,807.76 and 16,803.20

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Solution

The fourth proportional to 51,863.60, 77,807.76 and 16,803.20 is: 25,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863.60 : 77,807.76 = 16,803.20 : x
  2. Step 2: Convert to fraction form
    51,863.60/77,807.76 = 16,803.20/x
  3. Step 3: Cross multiply
    51,863.60x = 77,807.76 × 16,803.20
  4. Step 4: Simplify right side
    51,863.60x = 1,307,419,352.83
  5. Step 5: Solve for x
    x = 1,307,419,352.83/51,863.60
  6. Step 6: Final answer
    x = 25,208.80

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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.