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Finding the Fourth Proportional to 178,272, 246,015.36 and 106,655.04

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Solution

The fourth proportional to 178,272, 246,015.36 and 106,655.04 is: 147,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,272 : 246,015.36 = 106,655.04 : x
  2. Step 2: Convert to fraction form
    178,272/246,015.36 = 106,655.04/x
  3. Step 3: Cross multiply
    178,272x = 246,015.36 × 106,655.04
  4. Step 4: Simplify right side
    178,272x = 26,238,778,061.41
  5. Step 5: Solve for x
    x = 26,238,778,061.41/178,272
  6. Step 6: Final answer
    x = 147,183.96

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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.