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Finding the Fourth Proportional to 178,429.81, 246,255.01 and 102,978.31

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Solution

The fourth proportional to 178,429.81, 246,255.01 and 102,978.31 is: 142,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,429.81 : 246,255.01 = 102,978.31 : x
  2. Step 2: Convert to fraction form
    178,429.81/246,255.01 = 102,978.31/x
  3. Step 3: Cross multiply
    178,429.81x = 246,255.01 × 102,978.31
  4. Step 4: Simplify right side
    178,429.81x = 25,358,924,758.83
  5. Step 5: Solve for x
    x = 25,358,924,758.83/178,429.81
  6. Step 6: Final answer
    x = 142,122.69

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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.