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Finding the Fourth Proportional to 265,896.84, 366,938.78 and 145,040.76

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Solution

The fourth proportional to 265,896.84, 366,938.78 and 145,040.76 is: 200,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,896.84 : 366,938.78 = 145,040.76 : x
  2. Step 2: Convert to fraction form
    265,896.84/366,938.78 = 145,040.76/x
  3. Step 3: Cross multiply
    265,896.84x = 366,938.78 × 145,040.76
  4. Step 4: Simplify right side
    265,896.84x = 53,221,079,524.67
  5. Step 5: Solve for x
    x = 53,221,079,524.67/265,896.84
  6. Step 6: Final answer
    x = 200,156.87

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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.