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Finding the Fourth Proportional to 255,886.12, 353,121.96 and 142,708.78

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Solution

The fourth proportional to 255,886.12, 353,121.96 and 142,708.78 is: 196,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,886.12 : 353,121.96 = 142,708.78 : x
  2. Step 2: Convert to fraction form
    255,886.12/353,121.96 = 142,708.78/x
  3. Step 3: Cross multiply
    255,886.12x = 353,121.96 × 142,708.78
  4. Step 4: Simplify right side
    255,886.12x = 50,393,604,102.81
  5. Step 5: Solve for x
    x = 50,393,604,102.81/255,886.12
  6. Step 6: Final answer
    x = 196,937.62

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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.