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Finding the Fourth Proportional to 209,902.86, 289,673.78 and 119,274.21

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Solution

The fourth proportional to 209,902.86, 289,673.78 and 119,274.21 is: 164,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,902.86 : 289,673.78 = 119,274.21 : x
  2. Step 2: Convert to fraction form
    209,902.86/289,673.78 = 119,274.21/x
  3. Step 3: Cross multiply
    209,902.86x = 289,673.78 × 119,274.21
  4. Step 4: Simplify right side
    209,902.86x = 34,550,610,670.84
  5. Step 5: Solve for x
    x = 34,550,610,670.84/209,902.86
  6. Step 6: Final answer
    x = 164,602.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.