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Finding the Fourth Proportional to 154,928, 213,800.64 and 87,860

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Solution

The fourth proportional to 154,928, 213,800.64 and 87,860 is: 121,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,928 : 213,800.64 = 87,860 : x
  2. Step 2: Convert to fraction form
    154,928/213,800.64 = 87,860/x
  3. Step 3: Cross multiply
    154,928x = 213,800.64 × 87,860
  4. Step 4: Simplify right side
    154,928x = 18,784,524,230.40
  5. Step 5: Solve for x
    x = 18,784,524,230.40/154,928
  6. Step 6: Final answer
    x = 121,246.80

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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.