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Finding the Fourth Proportional to 102,834.32, 154,251.42 and 57,858.68

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Solution

The fourth proportional to 102,834.32, 154,251.42 and 57,858.68 is: 86,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,834.32 : 154,251.42 = 57,858.68 : x
  2. Step 2: Convert to fraction form
    102,834.32/154,251.42 = 57,858.68/x
  3. Step 3: Cross multiply
    102,834.32x = 154,251.42 × 57,858.68
  4. Step 4: Simplify right side
    102,834.32x = 8,924,783,549.33
  5. Step 5: Solve for x
    x = 8,924,783,549.33/102,834.32
  6. Step 6: Final answer
    x = 86,787.99

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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.