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Finding the Fourth Proportional to 213,818.68, 295,049.70 and 127,760.50

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Solution

The fourth proportional to 213,818.68, 295,049.70 and 127,760.50 is: 176,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,818.68 : 295,049.70 = 127,760.50 : x
  2. Step 2: Convert to fraction form
    213,818.68/295,049.70 = 127,760.50/x
  3. Step 3: Cross multiply
    213,818.68x = 295,049.70 × 127,760.50
  4. Step 4: Simplify right side
    213,818.68x = 37,695,697,196.85
  5. Step 5: Solve for x
    x = 37,695,697,196.85/213,818.68
  6. Step 6: Final answer
    x = 176,297.49

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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.