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Finding the Fourth Proportional to 228,825.80, 315,787.51 and 138,163.71

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Solution

The fourth proportional to 228,825.80, 315,787.51 and 138,163.71 is: 190,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,825.80 : 315,787.51 = 138,163.71 : x
  2. Step 2: Convert to fraction form
    228,825.80/315,787.51 = 138,163.71/x
  3. Step 3: Cross multiply
    228,825.80x = 315,787.51 × 138,163.71
  4. Step 4: Simplify right side
    228,825.80x = 43,630,373,953.26
  5. Step 5: Solve for x
    x = 43,630,373,953.26/228,825.80
  6. Step 6: Final answer
    x = 190,670.69

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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.