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Finding the Fourth Proportional to 224,719.96, 310,111.70 and 122,745.50

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Solution

The fourth proportional to 224,719.96, 310,111.70 and 122,745.50 is: 169,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,719.96 : 310,111.70 = 122,745.50 : x
  2. Step 2: Convert to fraction form
    224,719.96/310,111.70 = 122,745.50/x
  3. Step 3: Cross multiply
    224,719.96x = 310,111.70 × 122,745.50
  4. Step 4: Simplify right side
    224,719.96x = 38,064,815,672.35
  5. Step 5: Solve for x
    x = 38,064,815,672.35/224,719.96
  6. Step 6: Final answer
    x = 169,387.78

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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.