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Finding the Fourth Proportional to 178,856.64, 246,751.38 and 115,231.50

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Solution

The fourth proportional to 178,856.64, 246,751.38 and 115,231.50 is: 158,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,856.64 : 246,751.38 = 115,231.50 : x
  2. Step 2: Convert to fraction form
    178,856.64/246,751.38 = 115,231.50/x
  3. Step 3: Cross multiply
    178,856.64x = 246,751.38 × 115,231.50
  4. Step 4: Simplify right side
    178,856.64x = 28,433,531,644.47
  5. Step 5: Solve for x
    x = 28,433,531,644.47/178,856.64
  6. Step 6: Final answer
    x = 158,973.87

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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.