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Finding the Fourth Proportional to 216,611.72, 324,943.50 and 76,341.32

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Solution

The fourth proportional to 216,611.72, 324,943.50 and 76,341.32 is: 114,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,611.72 : 324,943.50 = 76,341.32 : x
  2. Step 2: Convert to fraction form
    216,611.72/324,943.50 = 76,341.32/x
  3. Step 3: Cross multiply
    216,611.72x = 324,943.50 × 76,341.32
  4. Step 4: Simplify right side
    216,611.72x = 24,806,615,715.42
  5. Step 5: Solve for x
    x = 24,806,615,715.42/216,611.72
  6. Step 6: Final answer
    x = 114,521.12

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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.