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Finding the Fourth Proportional to 203,482.70, 305,137.65 and 98,333.90

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Solution

The fourth proportional to 203,482.70, 305,137.65 and 98,333.90 is: 147,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482.70 : 305,137.65 = 98,333.90 : x
  2. Step 2: Convert to fraction form
    203,482.70/305,137.65 = 98,333.90/x
  3. Step 3: Cross multiply
    203,482.70x = 305,137.65 × 98,333.90
  4. Step 4: Simplify right side
    203,482.70x = 30,005,375,161.34
  5. Step 5: Solve for x
    x = 30,005,375,161.34/203,482.70
  6. Step 6: Final answer
    x = 147,459.10

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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.