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Finding the Fourth Proportional to 253,120.86, 379,681.47 and 75,627.90

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Solution

The fourth proportional to 253,120.86, 379,681.47 and 75,627.90 is: 113,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,120.86 : 379,681.47 = 75,627.90 : x
  2. Step 2: Convert to fraction form
    253,120.86/379,681.47 = 75,627.90/x
  3. Step 3: Cross multiply
    253,120.86x = 379,681.47 × 75,627.90
  4. Step 4: Simplify right side
    253,120.86x = 28,714,512,245.01
  5. Step 5: Solve for x
    x = 28,714,512,245.01/253,120.86
  6. Step 6: Final answer
    x = 113,441.90

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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.