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Finding the Fourth Proportional to 272,764.16, 409,087.92 and 85,731.92

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Solution

The fourth proportional to 272,764.16, 409,087.92 and 85,731.92 is: 128,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,764.16 : 409,087.92 = 85,731.92 : x
  2. Step 2: Convert to fraction form
    272,764.16/409,087.92 = 85,731.92/x
  3. Step 3: Cross multiply
    272,764.16x = 409,087.92 × 85,731.92
  4. Step 4: Simplify right side
    272,764.16x = 35,071,892,830.41
  5. Step 5: Solve for x
    x = 35,071,892,830.41/272,764.16
  6. Step 6: Final answer
    x = 128,579.55

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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.