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Finding the Fourth Proportional to 213,685.68, 320,545.38 and 71,531.80

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Solution

The fourth proportional to 213,685.68, 320,545.38 and 71,531.80 is: 107,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,685.68 : 320,545.38 = 71,531.80 : x
  2. Step 2: Convert to fraction form
    213,685.68/320,545.38 = 71,531.80/x
  3. Step 3: Cross multiply
    213,685.68x = 320,545.38 × 71,531.80
  4. Step 4: Simplify right side
    213,685.68x = 22,929,188,013.08
  5. Step 5: Solve for x
    x = 22,929,188,013.08/213,685.68
  6. Step 6: Final answer
    x = 107,303.34

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1.5x scale

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.