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Finding the Fourth Proportional to 154,232.91, 212,837.41 and 85,324.91

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Solution

The fourth proportional to 154,232.91, 212,837.41 and 85,324.91 is: 117,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,232.91 : 212,837.41 = 85,324.91 : x
  2. Step 2: Convert to fraction form
    154,232.91/212,837.41 = 85,324.91/x
  3. Step 3: Cross multiply
    154,232.91x = 212,837.41 × 85,324.91
  4. Step 4: Simplify right side
    154,232.91x = 18,160,333,757.68
  5. Step 5: Solve for x
    x = 18,160,333,757.68/154,232.91
  6. Step 6: Final answer
    x = 117,746.17

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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.