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Finding the Fourth Proportional to 189,978.68, 284,889.22 and 70,042.46

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Solution

The fourth proportional to 189,978.68, 284,889.22 and 70,042.46 is: 105,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,978.68 : 284,889.22 = 70,042.46 : x
  2. Step 2: Convert to fraction form
    189,978.68/284,889.22 = 70,042.46/x
  3. Step 3: Cross multiply
    189,978.68x = 284,889.22 × 70,042.46
  4. Step 4: Simplify right side
    189,978.68x = 19,954,340,196.73
  5. Step 5: Solve for x
    x = 19,954,340,196.73/189,978.68
  6. Step 6: Final answer
    x = 105,034.63

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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.