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Finding the Fourth Proportional to 201,887.20, 302,830.80 and 188,765.20

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Solution

The fourth proportional to 201,887.20, 302,830.80 and 188,765.20 is: 283,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,887.20 : 302,830.80 = 188,765.20 : x
  2. Step 2: Convert to fraction form
    201,887.20/302,830.80 = 188,765.20/x
  3. Step 3: Cross multiply
    201,887.20x = 302,830.80 × 188,765.20
  4. Step 4: Simplify right side
    201,887.20x = 57,163,916,528.16
  5. Step 5: Solve for x
    x = 57,163,916,528.16/201,887.20
  6. Step 6: Final answer
    x = 283,147.80

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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.