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Finding the Fourth Proportional to 52,074.98, 78,065.69 and 18,787.22

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Solution

The fourth proportional to 52,074.98, 78,065.69 and 18,787.22 is: 28,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.98 : 78,065.69 = 18,787.22 : x
  2. Step 2: Convert to fraction form
    52,074.98/78,065.69 = 18,787.22/x
  3. Step 3: Cross multiply
    52,074.98x = 78,065.69 × 18,787.22
  4. Step 4: Simplify right side
    52,074.98x = 1,466,636,808.22
  5. Step 5: Solve for x
    x = 1,466,636,808.22/52,074.98
  6. Step 6: Final answer
    x = 28,163.95

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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.