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Finding the Fourth Proportional to 191,392.75, 286,992.60 and 111,456.55

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Solution

The fourth proportional to 191,392.75, 286,992.60 and 111,456.55 is: 167,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,392.75 : 286,992.60 = 111,456.55 : x
  2. Step 2: Convert to fraction form
    191,392.75/286,992.60 = 111,456.55/x
  3. Step 3: Cross multiply
    191,392.75x = 286,992.60 × 111,456.55
  4. Step 4: Simplify right side
    191,392.75x = 31,987,205,071.53
  5. Step 5: Solve for x
    x = 31,987,205,071.53/191,392.75
  6. Step 6: Final answer
    x = 167,128.61

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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.