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Finding the Fourth Proportional to 191,115.80, 285,061.18 and 165,958.01

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Solution

The fourth proportional to 191,115.80, 285,061.18 and 165,958.01 is: 247,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,115.80 : 285,061.18 = 165,958.01 : x
  2. Step 2: Convert to fraction form
    191,115.80/285,061.18 = 165,958.01/x
  3. Step 3: Cross multiply
    191,115.80x = 285,061.18 × 165,958.01
  4. Step 4: Simplify right side
    191,115.80x = 47,308,184,320.85
  5. Step 5: Solve for x
    x = 47,308,184,320.85/191,115.80
  6. Step 6: Final answer
    x = 247,536.76

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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.