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Finding the Fourth Proportional to 154,120.92, 212,682.87 and 86,138.46

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Solution

The fourth proportional to 154,120.92, 212,682.87 and 86,138.46 is: 118,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,120.92 : 212,682.87 = 86,138.46 : x
  2. Step 2: Convert to fraction form
    154,120.92/212,682.87 = 86,138.46/x
  3. Step 3: Cross multiply
    154,120.92x = 212,682.87 × 86,138.46
  4. Step 4: Simplify right side
    154,120.92x = 18,320,174,890.18
  5. Step 5: Solve for x
    x = 18,320,174,890.18/154,120.92
  6. Step 6: Final answer
    x = 118,868.84

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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.