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Finding the Fourth Proportional to 65,983, 91,057.62 and 36,175

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Solution

The fourth proportional to 65,983, 91,057.62 and 36,175 is: 49,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,983 : 91,057.62 = 36,175 : x
  2. Step 2: Convert to fraction form
    65,983/91,057.62 = 36,175/x
  3. Step 3: Cross multiply
    65,983x = 91,057.62 × 36,175
  4. Step 4: Simplify right side
    65,983x = 3,294,009,403.50
  5. Step 5: Solve for x
    x = 3,294,009,403.50/65,983
  6. Step 6: Final answer
    x = 49,922.09

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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.