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Finding the Fourth Proportional to 272,712.96, 409,135.04 and 85,724.32

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Solution

The fourth proportional to 272,712.96, 409,135.04 and 85,724.32 is: 128,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,712.96 : 409,135.04 = 85,724.32 : x
  2. Step 2: Convert to fraction form
    272,712.96/409,135.04 = 85,724.32/x
  3. Step 3: Cross multiply
    272,712.96x = 409,135.04 × 85,724.32
  4. Step 4: Simplify right side
    272,712.96x = 35,072,823,092.17
  5. Step 5: Solve for x
    x = 35,072,823,092.17/272,712.96
  6. Step 6: Final answer
    x = 128,607.10

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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.