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Finding the Fourth Proportional to 216,065.28, 324,214.56 and 105,257.28

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Solution

The fourth proportional to 216,065.28, 324,214.56 and 105,257.28 is: 157,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,065.28 : 324,214.56 = 105,257.28 : x
  2. Step 2: Convert to fraction form
    216,065.28/324,214.56 = 105,257.28/x
  3. Step 3: Cross multiply
    216,065.28x = 324,214.56 × 105,257.28
  4. Step 4: Simplify right side
    216,065.28x = 34,125,942,722.00
  5. Step 5: Solve for x
    x = 34,125,942,722.00/216,065.28
  6. Step 6: Final answer
    x = 157,942.74

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1.5x scale

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.