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Finding the Fourth Proportional to 207,230.70, 310,815.14 and 57,455.36

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Solution

The fourth proportional to 207,230.70, 310,815.14 and 57,455.36 is: 86,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,230.70 : 310,815.14 = 57,455.36 : x
  2. Step 2: Convert to fraction form
    207,230.70/310,815.14 = 57,455.36/x
  3. Step 3: Cross multiply
    207,230.70x = 310,815.14 × 57,455.36
  4. Step 4: Simplify right side
    207,230.70x = 17,857,995,762.15
  5. Step 5: Solve for x
    x = 17,857,995,762.15/207,230.70
  6. Step 6: Final answer
    x = 86,174.47

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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.