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Finding the Fourth Proportional to 154,102, 212,660.76 and 83,446

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Solution

The fourth proportional to 154,102, 212,660.76 and 83,446 is: 115,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,102 : 212,660.76 = 83,446 : x
  2. Step 2: Convert to fraction form
    154,102/212,660.76 = 83,446/x
  3. Step 3: Cross multiply
    154,102x = 212,660.76 × 83,446
  4. Step 4: Simplify right side
    154,102x = 17,745,689,778.96
  5. Step 5: Solve for x
    x = 17,745,689,778.96/154,102
  6. Step 6: Final answer
    x = 115,155.48

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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.