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Finding the Fourth Proportional to 140,689.76, 211,051.32 and 88,103.60

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Solution

The fourth proportional to 140,689.76, 211,051.32 and 88,103.60 is: 132,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,689.76 : 211,051.32 = 88,103.60 : x
  2. Step 2: Convert to fraction form
    140,689.76/211,051.32 = 88,103.60/x
  3. Step 3: Cross multiply
    140,689.76x = 211,051.32 × 88,103.60
  4. Step 4: Simplify right side
    140,689.76x = 18,594,381,076.75
  5. Step 5: Solve for x
    x = 18,594,381,076.75/140,689.76
  6. Step 6: Final answer
    x = 132,165.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.