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Finding the Fourth Proportional to 135,803.40, 203,624.10 and 83,250.60

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Solution

The fourth proportional to 135,803.40, 203,624.10 and 83,250.60 is: 124,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,803.40 : 203,624.10 = 83,250.60 : x
  2. Step 2: Convert to fraction form
    135,803.40/203,624.10 = 83,250.60/x
  3. Step 3: Cross multiply
    135,803.40x = 203,624.10 × 83,250.60
  4. Step 4: Simplify right side
    135,803.40x = 16,951,828,499.46
  5. Step 5: Solve for x
    x = 16,951,828,499.46/135,803.40
  6. Step 6: Final answer
    x = 124,826.25

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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.