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Finding the Fourth Proportional to 224,745.23, 310,157.84 and 129,252

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Solution

The fourth proportional to 224,745.23, 310,157.84 and 129,252 is: 178,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,745.23 : 310,157.84 = 129,252 : x
  2. Step 2: Convert to fraction form
    224,745.23/310,157.84 = 129,252/x
  3. Step 3: Cross multiply
    224,745.23x = 310,157.84 × 129,252
  4. Step 4: Simplify right side
    224,745.23x = 40,088,521,135.68
  5. Step 5: Solve for x
    x = 40,088,521,135.68/224,745.23
  6. Step 6: Final answer
    x = 178,373.18

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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.