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Finding the Fourth Proportional to 189,757.69, 284,389.58 and 77,306.20

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Solution

The fourth proportional to 189,757.69, 284,389.58 and 77,306.20 is: 115,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,757.69 : 284,389.58 = 77,306.20 : x
  2. Step 2: Convert to fraction form
    189,757.69/284,389.58 = 77,306.20/x
  3. Step 3: Cross multiply
    189,757.69x = 284,389.58 × 77,306.20
  4. Step 4: Simplify right side
    189,757.69x = 21,985,077,231.69
  5. Step 5: Solve for x
    x = 21,985,077,231.69/189,757.69
  6. Step 6: Final answer
    x = 115,858.69

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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.