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Finding the Fourth Proportional to 68,072.80, 102,206.40 and 53,298.40

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Solution

The fourth proportional to 68,072.80, 102,206.40 and 53,298.40 is: 80,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,072.80 : 102,206.40 = 53,298.40 : x
  2. Step 2: Convert to fraction form
    68,072.80/102,206.40 = 53,298.40/x
  3. Step 3: Cross multiply
    68,072.80x = 102,206.40 × 53,298.40
  4. Step 4: Simplify right side
    68,072.80x = 5,447,437,589.76
  5. Step 5: Solve for x
    x = 5,447,437,589.76/68,072.80
  6. Step 6: Final answer
    x = 80,023.70

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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.