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Finding the Fourth Proportional to 111,489.47, 167,179.70 and 77,771.64

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Solution

The fourth proportional to 111,489.47, 167,179.70 and 77,771.64 is: 116,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,489.47 : 167,179.70 = 77,771.64 : x
  2. Step 2: Convert to fraction form
    111,489.47/167,179.70 = 77,771.64/x
  3. Step 3: Cross multiply
    111,489.47x = 167,179.70 × 77,771.64
  4. Step 4: Simplify right side
    111,489.47x = 13,001,840,178.30
  5. Step 5: Solve for x
    x = 13,001,840,178.30/111,489.47
  6. Step 6: Final answer
    x = 116,619.45

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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.