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Finding the Fourth Proportional to 280,124.49, 420,209.88 and 118,065.33

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Solution

The fourth proportional to 280,124.49, 420,209.88 and 118,065.33 is: 177,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,124.49 : 420,209.88 = 118,065.33 : x
  2. Step 2: Convert to fraction form
    280,124.49/420,209.88 = 118,065.33/x
  3. Step 3: Cross multiply
    280,124.49x = 420,209.88 × 118,065.33
  4. Step 4: Simplify right side
    280,124.49x = 49,612,217,708.72
  5. Step 5: Solve for x
    x = 49,612,217,708.72/280,124.49
  6. Step 6: Final answer
    x = 177,107.75

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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.