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Finding the Fourth Proportional to 65,830, 90,845.46 and 36,022

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Solution

The fourth proportional to 65,830, 90,845.46 and 36,022 is: 49,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830 : 90,845.46 = 36,022 : x
  2. Step 2: Convert to fraction form
    65,830/90,845.46 = 36,022/x
  3. Step 3: Cross multiply
    65,830x = 90,845.46 × 36,022
  4. Step 4: Simplify right side
    65,830x = 3,272,435,160.12
  5. Step 5: Solve for x
    x = 3,272,435,160.12/65,830
  6. Step 6: Final answer
    x = 49,710.39

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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.