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Finding the Fourth Proportional to 208,924.50, 313,511.28 and 75,815.15

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Solution

The fourth proportional to 208,924.50, 313,511.28 and 75,815.15 is: 113,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,924.50 : 313,511.28 = 75,815.15 : x
  2. Step 2: Convert to fraction form
    208,924.50/313,511.28 = 75,815.15/x
  3. Step 3: Cross multiply
    208,924.50x = 313,511.28 × 75,815.15
  4. Step 4: Simplify right side
    208,924.50x = 23,768,903,152.34
  5. Step 5: Solve for x
    x = 23,768,903,152.34/208,924.50
  6. Step 6: Final answer
    x = 113,767.91

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1.5x scale

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.