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Finding the Fourth Proportional to 216,193.68, 324,307.80 and 75,983.76

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Solution

The fourth proportional to 216,193.68, 324,307.80 and 75,983.76 is: 113,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,193.68 : 324,307.80 = 75,983.76 : x
  2. Step 2: Convert to fraction form
    216,193.68/324,307.80 = 75,983.76/x
  3. Step 3: Cross multiply
    216,193.68x = 324,307.80 × 75,983.76
  4. Step 4: Simplify right side
    216,193.68x = 24,642,126,041.33
  5. Step 5: Solve for x
    x = 24,642,126,041.33/216,193.68
  6. Step 6: Final answer
    x = 113,981.71

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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.