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Finding the Fourth Proportional to 272,870.32, 409,285.50 and 85,935.28

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Solution

The fourth proportional to 272,870.32, 409,285.50 and 85,935.28 is: 128,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,870.32 : 409,285.50 = 85,935.28 : x
  2. Step 2: Convert to fraction form
    272,870.32/409,285.50 = 85,935.28/x
  3. Step 3: Cross multiply
    272,870.32x = 409,285.50 × 85,935.28
  4. Step 4: Simplify right side
    272,870.32x = 35,172,064,042.44
  5. Step 5: Solve for x
    x = 35,172,064,042.44/272,870.32
  6. Step 6: Final answer
    x = 128,896.63

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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.