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Finding the Fourth Proportional to 272,833.64, 409,274.44 and 83,336.76

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Solution

The fourth proportional to 272,833.64, 409,274.44 and 83,336.76 is: 125,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,833.64 : 409,274.44 = 83,336.76 : x
  2. Step 2: Convert to fraction form
    272,833.64/409,274.44 = 83,336.76/x
  3. Step 3: Cross multiply
    272,833.64x = 409,274.44 × 83,336.76
  4. Step 4: Simplify right side
    272,833.64x = 34,107,605,780.41
  5. Step 5: Solve for x
    x = 34,107,605,780.41/272,833.64
  6. Step 6: Final answer
    x = 125,012.46

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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.