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Finding the Fourth Proportional to 189,855.33, 284,783.26 and 77,535.55

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Solution

The fourth proportional to 189,855.33, 284,783.26 and 77,535.55 is: 116,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,855.33 : 284,783.26 = 77,535.55 : x
  2. Step 2: Convert to fraction form
    189,855.33/284,783.26 = 77,535.55/x
  3. Step 3: Cross multiply
    189,855.33x = 284,783.26 × 77,535.55
  4. Step 4: Simplify right side
    189,855.33x = 22,080,826,694.89
  5. Step 5: Solve for x
    x = 22,080,826,694.89/189,855.33
  6. Step 6: Final answer
    x = 116,303.43

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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.