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Finding the Fourth Proportional to 141,048, 194,646.24 and 81,432

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Solution

The fourth proportional to 141,048, 194,646.24 and 81,432 is: 112,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048 : 194,646.24 = 81,432 : x
  2. Step 2: Convert to fraction form
    141,048/194,646.24 = 81,432/x
  3. Step 3: Cross multiply
    141,048x = 194,646.24 × 81,432
  4. Step 4: Simplify right side
    141,048x = 15,850,432,615.68
  5. Step 5: Solve for x
    x = 15,850,432,615.68/141,048
  6. Step 6: Final answer
    x = 112,376.16

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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.