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Finding the Fourth Proportional to 178,471.72, 246,256.87 and 102,015.06

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Solution

The fourth proportional to 178,471.72, 246,256.87 and 102,015.06 is: 140,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,471.72 : 246,256.87 = 102,015.06 : x
  2. Step 2: Convert to fraction form
    178,471.72/246,256.87 = 102,015.06/x
  3. Step 3: Cross multiply
    178,471.72x = 246,256.87 × 102,015.06
  4. Step 4: Simplify right side
    178,471.72x = 25,121,909,368.46
  5. Step 5: Solve for x
    x = 25,121,909,368.46/178,471.72
  6. Step 6: Final answer
    x = 140,761.29

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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.