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Finding the Fourth Proportional to 154,231, 212,839.14 and 87,163

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Solution

The fourth proportional to 154,231, 212,839.14 and 87,163 is: 120,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,231 : 212,839.14 = 87,163 : x
  2. Step 2: Convert to fraction form
    154,231/212,839.14 = 87,163/x
  3. Step 3: Cross multiply
    154,231x = 212,839.14 × 87,163
  4. Step 4: Simplify right side
    154,231x = 18,551,697,959.82
  5. Step 5: Solve for x
    x = 18,551,697,959.82/154,231
  6. Step 6: Final answer
    x = 120,285.14

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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.