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Finding the Fourth Proportional to 154,171.62, 212,766.71 and 86,188.86

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Solution

The fourth proportional to 154,171.62, 212,766.71 and 86,188.86 is: 118,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,171.62 : 212,766.71 = 86,188.86 : x
  2. Step 2: Convert to fraction form
    154,171.62/212,766.71 = 86,188.86/x
  3. Step 3: Cross multiply
    154,171.62x = 212,766.71 × 86,188.86
  4. Step 4: Simplify right side
    154,171.62x = 18,338,119,749.91
  5. Step 5: Solve for x
    x = 18,338,119,749.91/154,171.62
  6. Step 6: Final answer
    x = 118,946.14

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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.