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Finding the Fourth Proportional to 189,809.40, 284,823.45 and 71,565.60

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Solution

The fourth proportional to 189,809.40, 284,823.45 and 71,565.60 is: 107,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,809.40 : 284,823.45 = 71,565.60 : x
  2. Step 2: Convert to fraction form
    189,809.40/284,823.45 = 71,565.60/x
  3. Step 3: Cross multiply
    189,809.40x = 284,823.45 × 71,565.60
  4. Step 4: Simplify right side
    189,809.40x = 20,383,561,093.32
  5. Step 5: Solve for x
    x = 20,383,561,093.32/189,809.40
  6. Step 6: Final answer
    x = 107,389.63

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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.