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Finding the Fourth Proportional to 226,317.16, 312,328.74 and 125,713

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Solution

The fourth proportional to 226,317.16, 312,328.74 and 125,713 is: 173,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,317.16 : 312,328.74 = 125,713 : x
  2. Step 2: Convert to fraction form
    226,317.16/312,328.74 = 125,713/x
  3. Step 3: Cross multiply
    226,317.16x = 312,328.74 × 125,713
  4. Step 4: Simplify right side
    226,317.16x = 39,263,782,891.62
  5. Step 5: Solve for x
    x = 39,263,782,891.62/226,317.16
  6. Step 6: Final answer
    x = 173,490.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.