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Finding the Fourth Proportional to 207,165.53, 310,747.42 and 57,405.38

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Solution

The fourth proportional to 207,165.53, 310,747.42 and 57,405.38 is: 86,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,165.53 : 310,747.42 = 57,405.38 : x
  2. Step 2: Convert to fraction form
    207,165.53/310,747.42 = 57,405.38/x
  3. Step 3: Cross multiply
    207,165.53x = 310,747.42 × 57,405.38
  4. Step 4: Simplify right side
    207,165.53x = 17,838,572,247.14
  5. Step 5: Solve for x
    x = 17,838,572,247.14/207,165.53
  6. Step 6: Final answer
    x = 86,107.82

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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.