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Finding the Fourth Proportional to 102,874.78, 154,152.60 and 71,346.34

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Solution

The fourth proportional to 102,874.78, 154,152.60 and 71,346.34 is: 106,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,874.78 : 154,152.60 = 71,346.34 : x
  2. Step 2: Convert to fraction form
    102,874.78/154,152.60 = 71,346.34/x
  3. Step 3: Cross multiply
    102,874.78x = 154,152.60 × 71,346.34
  4. Step 4: Simplify right side
    102,874.78x = 10,998,223,811.48
  5. Step 5: Solve for x
    x = 10,998,223,811.48/102,874.78
  6. Step 6: Final answer
    x = 106,908.84

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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.