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Finding the Fourth Proportional to 209,909.82, 314,709.21 and 126,784.38

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Solution

The fourth proportional to 209,909.82, 314,709.21 and 126,784.38 is: 190,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.82 : 314,709.21 = 126,784.38 : x
  2. Step 2: Convert to fraction form
    209,909.82/314,709.21 = 126,784.38/x
  3. Step 3: Cross multiply
    209,909.82x = 314,709.21 × 126,784.38
  4. Step 4: Simplify right side
    209,909.82x = 39,900,212,070.14
  5. Step 5: Solve for x
    x = 39,900,212,070.14/209,909.82
  6. Step 6: Final answer
    x = 190,082.64

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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.