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Finding the Fourth Proportional to 189,361.80, 283,772.04 and 139,047.12

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Solution

The fourth proportional to 189,361.80, 283,772.04 and 139,047.12 is: 208,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,361.80 : 283,772.04 = 139,047.12 : x
  2. Step 2: Convert to fraction form
    189,361.80/283,772.04 = 139,047.12/x
  3. Step 3: Cross multiply
    189,361.80x = 283,772.04 × 139,047.12
  4. Step 4: Simplify right side
    189,361.80x = 39,457,684,898.52
  5. Step 5: Solve for x
    x = 39,457,684,898.52/189,361.80
  6. Step 6: Final answer
    x = 208,371.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.