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Finding the Fourth Proportional to 111,960, 167,941.31 and 47,909.48

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Solution

The fourth proportional to 111,960, 167,941.31 and 47,909.48 is: 71,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,960 : 167,941.31 = 47,909.48 : x
  2. Step 2: Convert to fraction form
    111,960/167,941.31 = 47,909.48/x
  3. Step 3: Cross multiply
    111,960x = 167,941.31 × 47,909.48
  4. Step 4: Simplify right side
    111,960x = 8,045,979,753.36
  5. Step 5: Solve for x
    x = 8,045,979,753.36/111,960
  6. Step 6: Final answer
    x = 71,864.77

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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.