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Finding the Fourth Proportional to 243,008.25, 364,531.41 and 65,512.55

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Solution

The fourth proportional to 243,008.25, 364,531.41 and 65,512.55 is: 98,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,008.25 : 364,531.41 = 65,512.55 : x
  2. Step 2: Convert to fraction form
    243,008.25/364,531.41 = 65,512.55/x
  3. Step 3: Cross multiply
    243,008.25x = 364,531.41 × 65,512.55
  4. Step 4: Simplify right side
    243,008.25x = 23,881,380,401.54
  5. Step 5: Solve for x
    x = 23,881,380,401.54/243,008.25
  6. Step 6: Final answer
    x = 98,273.95

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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.