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Finding the Fourth Proportional to 66,009, 91,098.18 and 36,206.76

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Solution

The fourth proportional to 66,009, 91,098.18 and 36,206.76 is: 49,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,009 : 91,098.18 = 36,206.76 : x
  2. Step 2: Convert to fraction form
    66,009/91,098.18 = 36,206.76/x
  3. Step 3: Cross multiply
    66,009x = 91,098.18 × 36,206.76
  4. Step 4: Simplify right side
    66,009x = 3,298,369,939.70
  5. Step 5: Solve for x
    x = 3,298,369,939.70/66,009
  6. Step 6: Final answer
    x = 49,968.49

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1.5x scale

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.