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Finding the Fourth Proportional to 112,206, 154,833.21 and 78,287.40

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Solution

The fourth proportional to 112,206, 154,833.21 and 78,287.40 is: 108,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,206 : 154,833.21 = 78,287.40 : x
  2. Step 2: Convert to fraction form
    112,206/154,833.21 = 78,287.40/x
  3. Step 3: Cross multiply
    112,206x = 154,833.21 × 78,287.40
  4. Step 4: Simplify right side
    112,206x = 12,121,489,444.55
  5. Step 5: Solve for x
    x = 12,121,489,444.55/112,206
  6. Step 6: Final answer
    x = 108,028.89

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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.