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Finding the Fourth Proportional to 216,582, 324,239.50 and 126,348.80

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Solution

The fourth proportional to 216,582, 324,239.50 and 126,348.80 is: 189,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,582 : 324,239.50 = 126,348.80 : x
  2. Step 2: Convert to fraction form
    216,582/324,239.50 = 126,348.80/x
  3. Step 3: Cross multiply
    216,582x = 324,239.50 × 126,348.80
  4. Step 4: Simplify right side
    216,582x = 40,967,271,737.60
  5. Step 5: Solve for x
    x = 40,967,271,737.60/216,582
  6. Step 6: Final answer
    x = 189,153.63

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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.