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Finding the Fourth Proportional to 272,870.10, 409,305.15 and 85,857.30

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Solution

The fourth proportional to 272,870.10, 409,305.15 and 85,857.30 is: 128,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,870.10 : 409,305.15 = 85,857.30 : x
  2. Step 2: Convert to fraction form
    272,870.10/409,305.15 = 85,857.30/x
  3. Step 3: Cross multiply
    272,870.10x = 409,305.15 × 85,857.30
  4. Step 4: Simplify right side
    272,870.10x = 35,141,835,055.10
  5. Step 5: Solve for x
    x = 35,141,835,055.10/272,870.10
  6. Step 6: Final answer
    x = 128,785.95

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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.