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Finding the Fourth Proportional to 213,744.08, 320,545.84 and 78,777

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Solution

The fourth proportional to 213,744.08, 320,545.84 and 78,777 is: 118,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,744.08 : 320,545.84 = 78,777 : x
  2. Step 2: Convert to fraction form
    213,744.08/320,545.84 = 78,777/x
  3. Step 3: Cross multiply
    213,744.08x = 320,545.84 × 78,777
  4. Step 4: Simplify right side
    213,744.08x = 25,251,639,637.68
  5. Step 5: Solve for x
    x = 25,251,639,637.68/213,744.08
  6. Step 6: Final answer
    x = 118,139.60

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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.