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Finding the Fourth Proportional to 191,982.80, 288,103.80 and 107,742.80

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Solution

The fourth proportional to 191,982.80, 288,103.80 and 107,742.80 is: 161,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,982.80 : 288,103.80 = 107,742.80 : x
  2. Step 2: Convert to fraction form
    191,982.80/288,103.80 = 107,742.80/x
  3. Step 3: Cross multiply
    191,982.80x = 288,103.80 × 107,742.80
  4. Step 4: Simplify right side
    191,982.80x = 31,041,110,102.64
  5. Step 5: Solve for x
    x = 31,041,110,102.64/191,982.80
  6. Step 6: Final answer
    x = 161,686.93

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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.