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Finding the Fourth Proportional to 272,691.76, 409,041.96 and 83,156.08

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Solution

The fourth proportional to 272,691.76, 409,041.96 and 83,156.08 is: 124,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,691.76 : 409,041.96 = 83,156.08 : x
  2. Step 2: Convert to fraction form
    272,691.76/409,041.96 = 83,156.08/x
  3. Step 3: Cross multiply
    272,691.76x = 409,041.96 × 83,156.08
  4. Step 4: Simplify right side
    272,691.76x = 34,014,325,949.12
  5. Step 5: Solve for x
    x = 34,014,325,949.12/272,691.76
  6. Step 6: Final answer
    x = 124,735.44

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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.