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Finding the Fourth Proportional to 65,829, 90,844.08 and 36,021

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Solution

The fourth proportional to 65,829, 90,844.08 and 36,021 is: 49,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,829 : 90,844.08 = 36,021 : x
  2. Step 2: Convert to fraction form
    65,829/90,844.08 = 36,021/x
  3. Step 3: Cross multiply
    65,829x = 90,844.08 × 36,021
  4. Step 4: Simplify right side
    65,829x = 3,272,294,605.68
  5. Step 5: Solve for x
    x = 3,272,294,605.68/65,829
  6. Step 6: Final answer
    x = 49,709.01

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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.