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Finding the Fourth Proportional to 141,726, 195,564.84 and 81,293.52

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Solution

The fourth proportional to 141,726, 195,564.84 and 81,293.52 is: 112,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,726 : 195,564.84 = 81,293.52 : x
  2. Step 2: Convert to fraction form
    141,726/195,564.84 = 81,293.52/x
  3. Step 3: Cross multiply
    141,726x = 195,564.84 × 81,293.52
  4. Step 4: Simplify right side
    141,726x = 15,898,154,231.84
  5. Step 5: Solve for x
    x = 15,898,154,231.84/141,726
  6. Step 6: Final answer
    x = 112,175.28

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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.