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Finding the Fourth Proportional to 191,118.80, 285,065.65 and 165,961.01

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Solution

The fourth proportional to 191,118.80, 285,065.65 and 165,961.01 is: 247,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,118.80 : 285,065.65 = 165,961.01 : x
  2. Step 2: Convert to fraction form
    191,118.80/285,065.65 = 165,961.01/x
  3. Step 3: Cross multiply
    191,118.80x = 285,065.65 × 165,961.01
  4. Step 4: Simplify right side
    191,118.80x = 47,309,783,190.31
  5. Step 5: Solve for x
    x = 47,309,783,190.31/191,118.80
  6. Step 6: Final answer
    x = 247,541.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.