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Finding the Fourth Proportional to 154,201.69, 212,733.17 and 103,230.84

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Solution

The fourth proportional to 154,201.69, 212,733.17 and 103,230.84 is: 142,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,201.69 : 212,733.17 = 103,230.84 : x
  2. Step 2: Convert to fraction form
    154,201.69/212,733.17 = 103,230.84/x
  3. Step 3: Cross multiply
    154,201.69x = 212,733.17 × 103,230.84
  4. Step 4: Simplify right side
    154,201.69x = 21,960,623,045.05
  5. Step 5: Solve for x
    x = 21,960,623,045.05/154,201.69
  6. Step 6: Final answer
    x = 142,414.93

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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.