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Finding the Fourth Proportional to 203,947.10, 305,920.65 and 133,088.30

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Solution

The fourth proportional to 203,947.10, 305,920.65 and 133,088.30 is: 199,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947.10 : 305,920.65 = 133,088.30 : x
  2. Step 2: Convert to fraction form
    203,947.10/305,920.65 = 133,088.30/x
  3. Step 3: Cross multiply
    203,947.10x = 305,920.65 × 133,088.30
  4. Step 4: Simplify right side
    203,947.10x = 40,714,459,243.40
  5. Step 5: Solve for x
    x = 40,714,459,243.40/203,947.10
  6. Step 6: Final answer
    x = 199,632.45

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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.