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Finding the Fourth Proportional to 228,775.28, 315,717.98 and 138,113.54

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Solution

The fourth proportional to 228,775.28, 315,717.98 and 138,113.54 is: 190,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,775.28 : 315,717.98 = 138,113.54 : x
  2. Step 2: Convert to fraction form
    228,775.28/315,717.98 = 138,113.54/x
  3. Step 3: Cross multiply
    228,775.28x = 315,717.98 × 138,113.54
  4. Step 4: Simplify right side
    228,775.28x = 43,604,927,859.45
  5. Step 5: Solve for x
    x = 43,604,927,859.45/228,775.28
  6. Step 6: Final answer
    x = 190,601.57

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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.