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Finding the Fourth Proportional to 255,901.92, 353,145.12 and 142,731.96

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Solution

The fourth proportional to 255,901.92, 353,145.12 and 142,731.96 is: 196,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,901.92 : 353,145.12 = 142,731.96 : x
  2. Step 2: Convert to fraction form
    255,901.92/353,145.12 = 142,731.96/x
  3. Step 3: Cross multiply
    255,901.92x = 353,145.12 × 142,731.96
  4. Step 4: Simplify right side
    255,901.92x = 50,405,095,142.04
  5. Step 5: Solve for x
    x = 50,405,095,142.04/255,901.92
  6. Step 6: Final answer
    x = 196,970.37

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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.