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Finding the Fourth Proportional to 216,247.60, 298,422.12 and 120,754

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Solution

The fourth proportional to 216,247.60, 298,422.12 and 120,754 is: 166,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,247.60 : 298,422.12 = 120,754 : x
  2. Step 2: Convert to fraction form
    216,247.60/298,422.12 = 120,754/x
  3. Step 3: Cross multiply
    216,247.60x = 298,422.12 × 120,754
  4. Step 4: Simplify right side
    216,247.60x = 36,035,664,678.48
  5. Step 5: Solve for x
    x = 36,035,664,678.48/216,247.60
  6. Step 6: Final answer
    x = 166,640.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.