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Finding the Fourth Proportional to 201,421.60, 301,767.90 and 96,008.20

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Solution

The fourth proportional to 201,421.60, 301,767.90 and 96,008.20 is: 143,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,421.60 : 301,767.90 = 96,008.20 : x
  2. Step 2: Convert to fraction form
    201,421.60/301,767.90 = 96,008.20/x
  3. Step 3: Cross multiply
    201,421.60x = 301,767.90 × 96,008.20
  4. Step 4: Simplify right side
    201,421.60x = 28,972,192,896.78
  5. Step 5: Solve for x
    x = 28,972,192,896.78/201,421.60
  6. Step 6: Final answer
    x = 143,838.56

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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.