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Finding the Fourth Proportional to 201,155.60, 301,906.20 and 89,008.40

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Solution

The fourth proportional to 201,155.60, 301,906.20 and 89,008.40 is: 133,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,155.60 : 301,906.20 = 89,008.40 : x
  2. Step 2: Convert to fraction form
    201,155.60/301,906.20 = 89,008.40/x
  3. Step 3: Cross multiply
    201,155.60x = 301,906.20 × 89,008.40
  4. Step 4: Simplify right side
    201,155.60x = 26,872,187,812.08
  5. Step 5: Solve for x
    x = 26,872,187,812.08/201,155.60
  6. Step 6: Final answer
    x = 133,589.06

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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.