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Finding the Fourth Proportional to 141,260, 194,956.10 and 81,644

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Solution

The fourth proportional to 141,260, 194,956.10 and 81,644 is: 112,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,260 : 194,956.10 = 81,644 : x
  2. Step 2: Convert to fraction form
    141,260/194,956.10 = 81,644/x
  3. Step 3: Cross multiply
    141,260x = 194,956.10 × 81,644
  4. Step 4: Simplify right side
    141,260x = 15,916,995,828.40
  5. Step 5: Solve for x
    x = 15,916,995,828.40/141,260
  6. Step 6: Final answer
    x = 112,678.72

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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.