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Finding the Fourth Proportional to 102,530.88, 141,506.88 and 60,103.20

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Solution

The fourth proportional to 102,530.88, 141,506.88 and 60,103.20 is: 82,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,530.88 : 141,506.88 = 60,103.20 : x
  2. Step 2: Convert to fraction form
    102,530.88/141,506.88 = 60,103.20/x
  3. Step 3: Cross multiply
    102,530.88x = 141,506.88 × 60,103.20
  4. Step 4: Simplify right side
    102,530.88x = 8,505,016,310.02
  5. Step 5: Solve for x
    x = 8,505,016,310.02/102,530.88
  6. Step 6: Final answer
    x = 82,950.78

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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.