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Finding the Fourth Proportional to 66,117, 91,241.46 and 36,309

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Solution

The fourth proportional to 66,117, 91,241.46 and 36,309 is: 50,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,117 : 91,241.46 = 36,309 : x
  2. Step 2: Convert to fraction form
    66,117/91,241.46 = 36,309/x
  3. Step 3: Cross multiply
    66,117x = 91,241.46 × 36,309
  4. Step 4: Simplify right side
    66,117x = 3,312,886,171.14
  5. Step 5: Solve for x
    x = 3,312,886,171.14/66,117
  6. Step 6: Final answer
    x = 50,106.42

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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.