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Finding the Fourth Proportional to 268,643.72, 402,938.22 and 91,146.44

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Solution

The fourth proportional to 268,643.72, 402,938.22 and 91,146.44 is: 136,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,643.72 : 402,938.22 = 91,146.44 : x
  2. Step 2: Convert to fraction form
    268,643.72/402,938.22 = 91,146.44/x
  3. Step 3: Cross multiply
    268,643.72x = 402,938.22 × 91,146.44
  4. Step 4: Simplify right side
    268,643.72x = 36,726,384,292.94
  5. Step 5: Solve for x
    x = 36,726,384,292.94/268,643.72
  6. Step 6: Final answer
    x = 136,710.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.