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Finding the Fourth Proportional to 255,996, 353,274.48 and 142,818.72

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Solution

The fourth proportional to 255,996, 353,274.48 and 142,818.72 is: 197,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,996 : 353,274.48 = 142,818.72 : x
  2. Step 2: Convert to fraction form
    255,996/353,274.48 = 142,818.72/x
  3. Step 3: Cross multiply
    255,996x = 353,274.48 × 142,818.72
  4. Step 4: Simplify right side
    255,996x = 50,454,209,042.27
  5. Step 5: Solve for x
    x = 50,454,209,042.27/255,996
  6. Step 6: Final answer
    x = 197,089.83

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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.