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Finding the Fourth Proportional to 209,118.51, 313,658.53 and 68,877.14

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Solution

The fourth proportional to 209,118.51, 313,658.53 and 68,877.14 is: 103,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,118.51 : 313,658.53 = 68,877.14 : x
  2. Step 2: Convert to fraction form
    209,118.51/313,658.53 = 68,877.14/x
  3. Step 3: Cross multiply
    209,118.51x = 313,658.53 × 68,877.14
  4. Step 4: Simplify right side
    209,118.51x = 21,603,900,742.52
  5. Step 5: Solve for x
    x = 21,603,900,742.52/209,118.51
  6. Step 6: Final answer
    x = 103,309.37

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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.