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Finding the Fourth Proportional to 69,490.92, 104,232.22 and 42,842

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Solution

The fourth proportional to 69,490.92, 104,232.22 and 42,842 is: 64,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,490.92 : 104,232.22 = 42,842 : x
  2. Step 2: Convert to fraction form
    69,490.92/104,232.22 = 42,842/x
  3. Step 3: Cross multiply
    69,490.92x = 104,232.22 × 42,842
  4. Step 4: Simplify right side
    69,490.92x = 4,465,516,769.24
  5. Step 5: Solve for x
    x = 4,465,516,769.24/69,490.92
  6. Step 6: Final answer
    x = 64,260.44

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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.