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Finding the Fourth Proportional to 201,165.10, 301,942.05 and 101,437.90

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Solution

The fourth proportional to 201,165.10, 301,942.05 and 101,437.90 is: 152,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,165.10 : 301,942.05 = 101,437.90 : x
  2. Step 2: Convert to fraction form
    201,165.10/301,942.05 = 101,437.90/x
  3. Step 3: Cross multiply
    201,165.10x = 301,942.05 × 101,437.90
  4. Step 4: Simplify right side
    201,165.10x = 30,628,367,473.70
  5. Step 5: Solve for x
    x = 30,628,367,473.70/201,165.10
  6. Step 6: Final answer
    x = 152,254.88

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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.