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Finding the Fourth Proportional to 209,293.12, 313,762.72 and 90,874.88

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Solution

The fourth proportional to 209,293.12, 313,762.72 and 90,874.88 is: 136,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,293.12 : 313,762.72 = 90,874.88 : x
  2. Step 2: Convert to fraction form
    209,293.12/313,762.72 = 90,874.88/x
  3. Step 3: Cross multiply
    209,293.12x = 313,762.72 × 90,874.88
  4. Step 4: Simplify right side
    209,293.12x = 28,513,149,528.47
  5. Step 5: Solve for x
    x = 28,513,149,528.47/209,293.12
  6. Step 6: Final answer
    x = 136,235.48

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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.