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Finding the Fourth Proportional to 119,981.64, 180,033.42 and 72,709.56

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Solution

The fourth proportional to 119,981.64, 180,033.42 and 72,709.56 is: 109,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,981.64 : 180,033.42 = 72,709.56 : x
  2. Step 2: Convert to fraction form
    119,981.64/180,033.42 = 72,709.56/x
  3. Step 3: Cross multiply
    119,981.64x = 180,033.42 × 72,709.56
  4. Step 4: Simplify right side
    119,981.64x = 13,090,150,753.50
  5. Step 5: Solve for x
    x = 13,090,150,753.50/119,981.64
  6. Step 6: Final answer
    x = 109,101.28

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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.