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Finding the Fourth Proportional to 209,038.90, 313,467.63 and 75,874.90

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Solution

The fourth proportional to 209,038.90, 313,467.63 and 75,874.90 is: 113,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,038.90 : 313,467.63 = 75,874.90 : x
  2. Step 2: Convert to fraction form
    209,038.90/313,467.63 = 75,874.90/x
  3. Step 3: Cross multiply
    209,038.90x = 313,467.63 × 75,874.90
  4. Step 4: Simplify right side
    209,038.90x = 23,784,325,079.49
  5. Step 5: Solve for x
    x = 23,784,325,079.49/209,038.90
  6. Step 6: Final answer
    x = 113,779.42

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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.