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Finding the Fourth Proportional to 209,987.10, 314,980.65 and 131,255.10

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Solution

The fourth proportional to 209,987.10, 314,980.65 and 131,255.10 is: 196,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,987.10 : 314,980.65 = 131,255.10 : x
  2. Step 2: Convert to fraction form
    209,987.10/314,980.65 = 131,255.10/x
  3. Step 3: Cross multiply
    209,987.10x = 314,980.65 × 131,255.10
  4. Step 4: Simplify right side
    209,987.10x = 41,342,816,713.82
  5. Step 5: Solve for x
    x = 41,342,816,713.82/209,987.10
  6. Step 6: Final answer
    x = 196,882.65

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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.