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Finding the Fourth Proportional to 140,824.40, 211,313.40 and 57,726.80

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Solution

The fourth proportional to 140,824.40, 211,313.40 and 57,726.80 is: 86,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,824.40 : 211,313.40 = 57,726.80 : x
  2. Step 2: Convert to fraction form
    140,824.40/211,313.40 = 57,726.80/x
  3. Step 3: Cross multiply
    140,824.40x = 211,313.40 × 57,726.80
  4. Step 4: Simplify right side
    140,824.40x = 12,198,446,379.12
  5. Step 5: Solve for x
    x = 12,198,446,379.12/140,824.40
  6. Step 6: Final answer
    x = 86,621.68

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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.