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Finding the Fourth Proportional to 178,147.56, 245,843.10 and 100,614.72

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Solution

The fourth proportional to 178,147.56, 245,843.10 and 100,614.72 is: 138,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,147.56 : 245,843.10 = 100,614.72 : x
  2. Step 2: Convert to fraction form
    178,147.56/245,843.10 = 100,614.72/x
  3. Step 3: Cross multiply
    178,147.56x = 245,843.10 × 100,614.72
  4. Step 4: Simplify right side
    178,147.56x = 24,735,434,670.43
  5. Step 5: Solve for x
    x = 24,735,434,670.43/178,147.56
  6. Step 6: Final answer
    x = 138,848.01

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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.