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Finding the Fourth Proportional to 178,507.68, 246,348 and 102,039.36

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Solution

The fourth proportional to 178,507.68, 246,348 and 102,039.36 is: 140,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,507.68 : 246,348 = 102,039.36 : x
  2. Step 2: Convert to fraction form
    178,507.68/246,348 = 102,039.36/x
  3. Step 3: Cross multiply
    178,507.68x = 246,348 × 102,039.36
  4. Step 4: Simplify right side
    178,507.68x = 25,137,192,257.28
  5. Step 5: Solve for x
    x = 25,137,192,257.28/178,507.68
  6. Step 6: Final answer
    x = 140,818.55

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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.