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Finding the Fourth Proportional to 189,053.91, 260,693.78 and 170,012.43

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Solution

The fourth proportional to 189,053.91, 260,693.78 and 170,012.43 is: 234,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,053.91 : 260,693.78 = 170,012.43 : x
  2. Step 2: Convert to fraction form
    189,053.91/260,693.78 = 170,012.43/x
  3. Step 3: Cross multiply
    189,053.91x = 260,693.78 × 170,012.43
  4. Step 4: Simplify right side
    189,053.91x = 44,321,182,173.62
  5. Step 5: Solve for x
    x = 44,321,182,173.62/189,053.91
  6. Step 6: Final answer
    x = 234,436.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.