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Finding the Fourth Proportional to 111,780.95, 167,688.09 and 36,909

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Solution

The fourth proportional to 111,780.95, 167,688.09 and 36,909 is: 55,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,780.95 : 167,688.09 = 36,909 : x
  2. Step 2: Convert to fraction form
    111,780.95/167,688.09 = 36,909/x
  3. Step 3: Cross multiply
    111,780.95x = 167,688.09 × 36,909
  4. Step 4: Simplify right side
    111,780.95x = 6,189,199,713.81
  5. Step 5: Solve for x
    x = 6,189,199,713.81/111,780.95
  6. Step 6: Final answer
    x = 55,369.01

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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.