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Finding the Fourth Proportional to 233,956.64, 322,863.30 and 131,981.78

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Solution

The fourth proportional to 233,956.64, 322,863.30 and 131,981.78 is: 182,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,956.64 : 322,863.30 = 131,981.78 : x
  2. Step 2: Convert to fraction form
    233,956.64/322,863.30 = 131,981.78/x
  3. Step 3: Cross multiply
    233,956.64x = 322,863.30 × 131,981.78
  4. Step 4: Simplify right side
    233,956.64x = 42,612,072,370.77
  5. Step 5: Solve for x
    x = 42,612,072,370.77/233,956.64
  6. Step 6: Final answer
    x = 182,136.63

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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.