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Finding the Fourth Proportional to 228,770.92, 315,628.14 and 138,092.50

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Solution

The fourth proportional to 228,770.92, 315,628.14 and 138,092.50 is: 190,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,770.92 : 315,628.14 = 138,092.50 : x
  2. Step 2: Convert to fraction form
    228,770.92/315,628.14 = 138,092.50/x
  3. Step 3: Cross multiply
    228,770.92x = 315,628.14 × 138,092.50
  4. Step 4: Simplify right side
    228,770.92x = 43,585,878,922.95
  5. Step 5: Solve for x
    x = 43,585,878,922.95/228,770.92
  6. Step 6: Final answer
    x = 190,521.94

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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.