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Finding the Fourth Proportional to 140,985.39, 211,517.13 and 65,107.11

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Solution

The fourth proportional to 140,985.39, 211,517.13 and 65,107.11 is: 97,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,985.39 : 211,517.13 = 65,107.11 : x
  2. Step 2: Convert to fraction form
    140,985.39/211,517.13 = 65,107.11/x
  3. Step 3: Cross multiply
    140,985.39x = 211,517.13 × 65,107.11
  4. Step 4: Simplify right side
    140,985.39x = 13,771,269,049.79
  5. Step 5: Solve for x
    x = 13,771,269,049.79/140,985.39
  6. Step 6: Final answer
    x = 97,678.70

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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.