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Finding the Fourth Proportional to 189,578.22, 284,287.94 and 77,182

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Solution

The fourth proportional to 189,578.22, 284,287.94 and 77,182 is: 115,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,578.22 : 284,287.94 = 77,182 : x
  2. Step 2: Convert to fraction form
    189,578.22/284,287.94 = 77,182/x
  3. Step 3: Cross multiply
    189,578.22x = 284,287.94 × 77,182
  4. Step 4: Simplify right side
    189,578.22x = 21,941,911,785.08
  5. Step 5: Solve for x
    x = 21,941,911,785.08/189,578.22
  6. Step 6: Final answer
    x = 115,740.68

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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.