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Finding the Fourth Proportional to 216,643.74, 325,018.80 and 74,491.20

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Solution

The fourth proportional to 216,643.74, 325,018.80 and 74,491.20 is: 111,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,643.74 : 325,018.80 = 74,491.20 : x
  2. Step 2: Convert to fraction form
    216,643.74/325,018.80 = 74,491.20/x
  3. Step 3: Cross multiply
    216,643.74x = 325,018.80 × 74,491.20
  4. Step 4: Simplify right side
    216,643.74x = 24,211,040,434.56
  5. Step 5: Solve for x
    x = 24,211,040,434.56/216,643.74
  6. Step 6: Final answer
    x = 111,755.09

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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.