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Finding the Fourth Proportional to 257,832.70, 386,749.05 and 80,353.96

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Solution

The fourth proportional to 257,832.70, 386,749.05 and 80,353.96 is: 120,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,832.70 : 386,749.05 = 80,353.96 : x
  2. Step 2: Convert to fraction form
    257,832.70/386,749.05 = 80,353.96/x
  3. Step 3: Cross multiply
    257,832.70x = 386,749.05 × 80,353.96
  4. Step 4: Simplify right side
    257,832.70x = 31,076,817,693.74
  5. Step 5: Solve for x
    x = 31,076,817,693.74/257,832.70
  6. Step 6: Final answer
    x = 120,530.94

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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.