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Finding the Fourth Proportional to 206,981.76, 310,251.60 and 118,043.76

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Solution

The fourth proportional to 206,981.76, 310,251.60 and 118,043.76 is: 176,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,981.76 : 310,251.60 = 118,043.76 : x
  2. Step 2: Convert to fraction form
    206,981.76/310,251.60 = 118,043.76/x
  3. Step 3: Cross multiply
    206,981.76x = 310,251.60 × 118,043.76
  4. Step 4: Simplify right side
    206,981.76x = 36,623,265,410.02
  5. Step 5: Solve for x
    x = 36,623,265,410.02/206,981.76
  6. Step 6: Final answer
    x = 176,939.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.