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Finding the Fourth Proportional to 147,530.86, 203,592.84 and 80,462.86

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Solution

The fourth proportional to 147,530.86, 203,592.84 and 80,462.86 is: 111,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,530.86 : 203,592.84 = 80,462.86 : x
  2. Step 2: Convert to fraction form
    147,530.86/203,592.84 = 80,462.86/x
  3. Step 3: Cross multiply
    147,530.86x = 203,592.84 × 80,462.86
  4. Step 4: Simplify right side
    147,530.86x = 16,381,662,181.92
  5. Step 5: Solve for x
    x = 16,381,662,181.92/147,530.86
  6. Step 6: Final answer
    x = 111,038.88

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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.