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Finding the Fourth Proportional to 140,784.87, 211,175.54 and 34,169.71

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Solution

The fourth proportional to 140,784.87, 211,175.54 and 34,169.71 is: 51,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,784.87 : 211,175.54 = 34,169.71 : x
  2. Step 2: Convert to fraction form
    140,784.87/211,175.54 = 34,169.71/x
  3. Step 3: Cross multiply
    140,784.87x = 211,175.54 × 34,169.71
  4. Step 4: Simplify right side
    140,784.87x = 7,215,806,960.89
  5. Step 5: Solve for x
    x = 7,215,806,960.89/140,784.87
  6. Step 6: Final answer
    x = 51,254.14

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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.