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Finding the Fourth Proportional to 216,106.40, 324,062.40 and 82,942.40

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Solution

The fourth proportional to 216,106.40, 324,062.40 and 82,942.40 is: 124,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,106.40 : 324,062.40 = 82,942.40 : x
  2. Step 2: Convert to fraction form
    216,106.40/324,062.40 = 82,942.40/x
  3. Step 3: Cross multiply
    216,106.40x = 324,062.40 × 82,942.40
  4. Step 4: Simplify right side
    216,106.40x = 26,878,513,205.76
  5. Step 5: Solve for x
    x = 26,878,513,205.76/216,106.40
  6. Step 6: Final answer
    x = 124,376.29

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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.