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Finding the Fourth Proportional to 215,283.47, 322,941.60 and 65,536.56

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Solution

The fourth proportional to 215,283.47, 322,941.60 and 65,536.56 is: 98,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,283.47 : 322,941.60 = 65,536.56 : x
  2. Step 2: Convert to fraction form
    215,283.47/322,941.60 = 65,536.56/x
  3. Step 3: Cross multiply
    215,283.47x = 322,941.60 × 65,536.56
  4. Step 4: Simplify right side
    215,283.47x = 21,164,481,544.90
  5. Step 5: Solve for x
    x = 21,164,481,544.90/215,283.47
  6. Step 6: Final answer
    x = 98,309.83

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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.