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Finding the Fourth Proportional to 191,981.80, 288,102.30 and 107,741.80

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Solution

The fourth proportional to 191,981.80, 288,102.30 and 107,741.80 is: 161,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,981.80 : 288,102.30 = 107,741.80 : x
  2. Step 2: Convert to fraction form
    191,981.80/288,102.30 = 107,741.80/x
  3. Step 3: Cross multiply
    191,981.80x = 288,102.30 × 107,741.80
  4. Step 4: Simplify right side
    191,981.80x = 31,040,660,386.14
  5. Step 5: Solve for x
    x = 31,040,660,386.14/191,981.80
  6. Step 6: Final answer
    x = 161,685.43

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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.