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Finding the Fourth Proportional to 209,769.48, 314,404.32 and 120,838.76

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Solution

The fourth proportional to 209,769.48, 314,404.32 and 120,838.76 is: 181,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,769.48 : 314,404.32 = 120,838.76 : x
  2. Step 2: Convert to fraction form
    209,769.48/314,404.32 = 120,838.76/x
  3. Step 3: Cross multiply
    209,769.48x = 314,404.32 × 120,838.76
  4. Step 4: Simplify right side
    209,769.48x = 37,992,228,167.44
  5. Step 5: Solve for x
    x = 37,992,228,167.44/209,769.48
  6. Step 6: Final answer
    x = 181,114.18

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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.