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Finding the Fourth Proportional to 140,846.64, 211,265.64 and 57,678

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Solution

The fourth proportional to 140,846.64, 211,265.64 and 57,678 is: 86,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,846.64 : 211,265.64 = 57,678 : x
  2. Step 2: Convert to fraction form
    140,846.64/211,265.64 = 57,678/x
  3. Step 3: Cross multiply
    140,846.64x = 211,265.64 × 57,678
  4. Step 4: Simplify right side
    140,846.64x = 12,185,379,583.92
  5. Step 5: Solve for x
    x = 12,185,379,583.92/140,846.64
  6. Step 6: Final answer
    x = 86,515.23

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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.