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Finding the Fourth Proportional to 120,811.76, 166,695.36 and 69,806.24

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Solution

The fourth proportional to 120,811.76, 166,695.36 and 69,806.24 is: 96,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,811.76 : 166,695.36 = 69,806.24 : x
  2. Step 2: Convert to fraction form
    120,811.76/166,695.36 = 69,806.24/x
  3. Step 3: Cross multiply
    120,811.76x = 166,695.36 × 69,806.24
  4. Step 4: Simplify right side
    120,811.76x = 11,636,376,307.05
  5. Step 5: Solve for x
    x = 11,636,376,307.05/120,811.76
  6. Step 6: Final answer
    x = 96,318.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.