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Finding the Fourth Proportional to 216,543.54, 324,815.31 and 105,640.50

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Solution

The fourth proportional to 216,543.54, 324,815.31 and 105,640.50 is: 158,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,543.54 : 324,815.31 = 105,640.50 : x
  2. Step 2: Convert to fraction form
    216,543.54/324,815.31 = 105,640.50/x
  3. Step 3: Cross multiply
    216,543.54x = 324,815.31 × 105,640.50
  4. Step 4: Simplify right side
    216,543.54x = 34,313,651,756.06
  5. Step 5: Solve for x
    x = 34,313,651,756.06/216,543.54
  6. Step 6: Final answer
    x = 158,460.75

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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.