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Finding the Fourth Proportional to 253,746, 380,625.17 and 85,268.76

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Solution

The fourth proportional to 253,746, 380,625.17 and 85,268.76 is: 127,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,746 : 380,625.17 = 85,268.76 : x
  2. Step 2: Convert to fraction form
    253,746/380,625.17 = 85,268.76/x
  3. Step 3: Cross multiply
    253,746x = 380,625.17 × 85,268.76
  4. Step 4: Simplify right side
    253,746x = 32,455,436,270.69
  5. Step 5: Solve for x
    x = 32,455,436,270.69/253,746
  6. Step 6: Final answer
    x = 127,905.21

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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.