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Finding the Fourth Proportional to 147,643.86, 203,748.46 and 80,575.86

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Solution

The fourth proportional to 147,643.86, 203,748.46 and 80,575.86 is: 111,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,643.86 : 203,748.46 = 80,575.86 : x
  2. Step 2: Convert to fraction form
    147,643.86/203,748.46 = 80,575.86/x
  3. Step 3: Cross multiply
    147,643.86x = 203,748.46 × 80,575.86
  4. Step 4: Simplify right side
    147,643.86x = 16,417,207,388.18
  5. Step 5: Solve for x
    x = 16,417,207,388.18/147,643.86
  6. Step 6: Final answer
    x = 111,194.65

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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.