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Finding the Fourth Proportional to 201,209, 301,354.23 and 96,101.78

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Solution

The fourth proportional to 201,209, 301,354.23 and 96,101.78 is: 143,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,209 : 301,354.23 = 96,101.78 : x
  2. Step 2: Convert to fraction form
    201,209/301,354.23 = 96,101.78/x
  3. Step 3: Cross multiply
    201,209x = 301,354.23 × 96,101.78
  4. Step 4: Simplify right side
    201,209x = 28,960,677,913.53
  5. Step 5: Solve for x
    x = 28,960,677,913.53/201,209
  6. Step 6: Final answer
    x = 143,933.31

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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.