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Finding the Fourth Proportional to 253,627.67, 380,448.50 and 76,134.74

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Solution

The fourth proportional to 253,627.67, 380,448.50 and 76,134.74 is: 114,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,627.67 : 380,448.50 = 76,134.74 : x
  2. Step 2: Convert to fraction form
    253,627.67/380,448.50 = 76,134.74/x
  3. Step 3: Cross multiply
    253,627.67x = 380,448.50 × 76,134.74
  4. Step 4: Simplify right side
    253,627.67x = 28,965,345,347.97
  5. Step 5: Solve for x
    x = 28,965,345,347.97/253,627.67
  6. Step 6: Final answer
    x = 114,204.20

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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.