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Finding the Fourth Proportional to 119,209.60, 178,814.40 and 36,103.60

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Solution

The fourth proportional to 119,209.60, 178,814.40 and 36,103.60 is: 54,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,209.60 : 178,814.40 = 36,103.60 : x
  2. Step 2: Convert to fraction form
    119,209.60/178,814.40 = 36,103.60/x
  3. Step 3: Cross multiply
    119,209.60x = 178,814.40 × 36,103.60
  4. Step 4: Simplify right side
    119,209.60x = 6,455,843,571.84
  5. Step 5: Solve for x
    x = 6,455,843,571.84/119,209.60
  6. Step 6: Final answer
    x = 54,155.40

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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.