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Finding the Fourth Proportional to 216,683.40, 325,217.10 and 127,825.80

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Solution

The fourth proportional to 216,683.40, 325,217.10 and 127,825.80 is: 191,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,683.40 : 325,217.10 = 127,825.80 : x
  2. Step 2: Convert to fraction form
    216,683.40/325,217.10 = 127,825.80/x
  3. Step 3: Cross multiply
    216,683.40x = 325,217.10 × 127,825.80
  4. Step 4: Simplify right side
    216,683.40x = 41,571,135,981.18
  5. Step 5: Solve for x
    x = 41,571,135,981.18/216,683.40
  6. Step 6: Final answer
    x = 191,851.96

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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.