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Finding the Fourth Proportional to 207,257.40, 310,892.72 and 57,499.20

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Solution

The fourth proportional to 207,257.40, 310,892.72 and 57,499.20 is: 86,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,257.40 : 310,892.72 = 57,499.20 : x
  2. Step 2: Convert to fraction form
    207,257.40/310,892.72 = 57,499.20/x
  3. Step 3: Cross multiply
    207,257.40x = 310,892.72 × 57,499.20
  4. Step 4: Simplify right side
    207,257.40x = 17,876,082,685.82
  5. Step 5: Solve for x
    x = 17,876,082,685.82/207,257.40
  6. Step 6: Final answer
    x = 86,250.64

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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.