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Finding the Fourth Proportional to 178,145.89, 245,845.31 and 101,663.46

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Solution

The fourth proportional to 178,145.89, 245,845.31 and 101,663.46 is: 140,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,145.89 : 245,845.31 = 101,663.46 : x
  2. Step 2: Convert to fraction form
    178,145.89/245,845.31 = 101,663.46/x
  3. Step 3: Cross multiply
    178,145.89x = 245,845.31 × 101,663.46
  4. Step 4: Simplify right side
    178,145.89x = 24,993,484,902.91
  5. Step 5: Solve for x
    x = 24,993,484,902.91/178,145.89
  6. Step 6: Final answer
    x = 140,297.85

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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.