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Finding the Fourth Proportional to 66,014, 91,103.64 and 36,206

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Solution

The fourth proportional to 66,014, 91,103.64 and 36,206 is: 49,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,014 : 91,103.64 = 36,206 : x
  2. Step 2: Convert to fraction form
    66,014/91,103.64 = 36,206/x
  3. Step 3: Cross multiply
    66,014x = 91,103.64 × 36,206
  4. Step 4: Simplify right side
    66,014x = 3,298,498,389.84
  5. Step 5: Solve for x
    x = 3,298,498,389.84/66,014
  6. Step 6: Final answer
    x = 49,966.65

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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.