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Finding the Fourth Proportional to 209,311.30, 313,923.03 and 69,037.06

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Solution

The fourth proportional to 209,311.30, 313,923.03 and 69,037.06 is: 103,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,311.30 : 313,923.03 = 69,037.06 : x
  2. Step 2: Convert to fraction form
    209,311.30/313,923.03 = 69,037.06/x
  3. Step 3: Cross multiply
    209,311.30x = 313,923.03 × 69,037.06
  4. Step 4: Simplify right side
    209,311.30x = 21,672,323,057.49
  5. Step 5: Solve for x
    x = 21,672,323,057.49/209,311.30
  6. Step 6: Final answer
    x = 103,541.10

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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.