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Finding the Fourth Proportional to 141,671, 195,505.98 and 78,008.64

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Solution

The fourth proportional to 141,671, 195,505.98 and 78,008.64 is: 107,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,671 : 195,505.98 = 78,008.64 : x
  2. Step 2: Convert to fraction form
    141,671/195,505.98 = 78,008.64/x
  3. Step 3: Cross multiply
    141,671x = 195,505.98 × 78,008.64
  4. Step 4: Simplify right side
    141,671x = 15,251,155,611.67
  5. Step 5: Solve for x
    x = 15,251,155,611.67/141,671
  6. Step 6: Final answer
    x = 107,651.92

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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.