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Finding the Fourth Proportional to 224,615.37, 309,966.86 and 122,640.51

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Solution

The fourth proportional to 224,615.37, 309,966.86 and 122,640.51 is: 169,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,615.37 : 309,966.86 = 122,640.51 : x
  2. Step 2: Convert to fraction form
    224,615.37/309,966.86 = 122,640.51/x
  3. Step 3: Cross multiply
    224,615.37x = 309,966.86 × 122,640.51
  4. Step 4: Simplify right side
    224,615.37x = 38,014,494,572.62
  5. Step 5: Solve for x
    x = 38,014,494,572.62/224,615.37
  6. Step 6: Final answer
    x = 169,242.63

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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.