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Finding the Fourth Proportional to 208,054.70, 312,082.05 and 133,405.10

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Solution

The fourth proportional to 208,054.70, 312,082.05 and 133,405.10 is: 200,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,054.70 : 312,082.05 = 133,405.10 : x
  2. Step 2: Convert to fraction form
    208,054.70/312,082.05 = 133,405.10/x
  3. Step 3: Cross multiply
    208,054.70x = 312,082.05 × 133,405.10
  4. Step 4: Simplify right side
    208,054.70x = 41,633,337,088.46
  5. Step 5: Solve for x
    x = 41,633,337,088.46/208,054.70
  6. Step 6: Final answer
    x = 200,107.65

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1.5x scale

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.