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Finding the Fourth Proportional to 111,921.62, 167,854.75 and 69,780

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Solution

The fourth proportional to 111,921.62, 167,854.75 and 69,780 is: 104,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,921.62 : 167,854.75 = 69,780 : x
  2. Step 2: Convert to fraction form
    111,921.62/167,854.75 = 69,780/x
  3. Step 3: Cross multiply
    111,921.62x = 167,854.75 × 69,780
  4. Step 4: Simplify right side
    111,921.62x = 11,712,904,280.55
  5. Step 5: Solve for x
    x = 11,712,904,280.55/111,921.62
  6. Step 6: Final answer
    x = 104,652.74

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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.