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Finding the Fourth Proportional to 140,583.94, 210,854.26 and 45,813.90

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Solution

The fourth proportional to 140,583.94, 210,854.26 and 45,813.90 is: 68,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,583.94 : 210,854.26 = 45,813.90 : x
  2. Step 2: Convert to fraction form
    140,583.94/210,854.26 = 45,813.90/x
  3. Step 3: Cross multiply
    140,583.94x = 210,854.26 × 45,813.90
  4. Step 4: Simplify right side
    140,583.94x = 9,660,055,982.21
  5. Step 5: Solve for x
    x = 9,660,055,982.21/140,583.94
  6. Step 6: Final answer
    x = 68,713.79

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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.