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Finding the Fourth Proportional to 189,442.65, 284,161.50 and 54,510.24

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Solution

The fourth proportional to 189,442.65, 284,161.50 and 54,510.24 is: 81,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,442.65 : 284,161.50 = 54,510.24 : x
  2. Step 2: Convert to fraction form
    189,442.65/284,161.50 = 54,510.24/x
  3. Step 3: Cross multiply
    189,442.65x = 284,161.50 × 54,510.24
  4. Step 4: Simplify right side
    189,442.65x = 15,489,711,563.76
  5. Step 5: Solve for x
    x = 15,489,711,563.76/189,442.65
  6. Step 6: Final answer
    x = 81,764.65

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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.