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Finding the Fourth Proportional to 89,082, 133,506 and 49,657.68

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Solution

The fourth proportional to 89,082, 133,506 and 49,657.68 is: 74,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,082 : 133,506 = 49,657.68 : x
  2. Step 2: Convert to fraction form
    89,082/133,506 = 49,657.68/x
  3. Step 3: Cross multiply
    89,082x = 133,506 × 49,657.68
  4. Step 4: Simplify right side
    89,082x = 6,629,598,226.08
  5. Step 5: Solve for x
    x = 6,629,598,226.08/89,082
  6. Step 6: Final answer
    x = 74,421.30

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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.