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Finding the Fourth Proportional to 66,311.09, 91,509.05 and 36,098.09

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Solution

The fourth proportional to 66,311.09, 91,509.05 and 36,098.09 is: 49,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,311.09 : 91,509.05 = 36,098.09 : x
  2. Step 2: Convert to fraction form
    66,311.09/91,509.05 = 36,098.09/x
  3. Step 3: Cross multiply
    66,311.09x = 91,509.05 × 36,098.09
  4. Step 4: Simplify right side
    66,311.09x = 3,303,301,742.22
  5. Step 5: Solve for x
    x = 3,303,301,742.22/66,311.09
  6. Step 6: Final answer
    x = 49,815.22

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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.