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Finding the Fourth Proportional to 141,175.70, 194,821.40 and 76,643.40

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Solution

The fourth proportional to 141,175.70, 194,821.40 and 76,643.40 is: 105,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,175.70 : 194,821.40 = 76,643.40 : x
  2. Step 2: Convert to fraction form
    141,175.70/194,821.40 = 76,643.40/x
  3. Step 3: Cross multiply
    141,175.70x = 194,821.40 × 76,643.40
  4. Step 4: Simplify right side
    141,175.70x = 14,931,774,105.54
  5. Step 5: Solve for x
    x = 14,931,774,105.54/141,175.70
  6. Step 6: Final answer
    x = 105,767.31

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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.