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Finding the Fourth Proportional to 252,022.40, 378,206.40 and 111,881.60

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Solution

The fourth proportional to 252,022.40, 378,206.40 and 111,881.60 is: 167,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,022.40 : 378,206.40 = 111,881.60 : x
  2. Step 2: Convert to fraction form
    252,022.40/378,206.40 = 111,881.60/x
  3. Step 3: Cross multiply
    252,022.40x = 378,206.40 × 111,881.60
  4. Step 4: Simplify right side
    252,022.40x = 42,314,337,162.24
  5. Step 5: Solve for x
    x = 42,314,337,162.24/252,022.40
  6. Step 6: Final answer
    x = 167,899.11

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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.