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Finding the Fourth Proportional to 231,223.66, 346,863.28 and 81,433

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Solution

The fourth proportional to 231,223.66, 346,863.28 and 81,433 is: 122,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,223.66 : 346,863.28 = 81,433 : x
  2. Step 2: Convert to fraction form
    231,223.66/346,863.28 = 81,433/x
  3. Step 3: Cross multiply
    231,223.66x = 346,863.28 × 81,433
  4. Step 4: Simplify right side
    231,223.66x = 28,246,117,480.24
  5. Step 5: Solve for x
    x = 28,246,117,480.24/231,223.66
  6. Step 6: Final answer
    x = 122,159.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.