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Finding the Fourth Proportional to 209,662.98, 314,231.94 and 165,113.79

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Solution

The fourth proportional to 209,662.98, 314,231.94 and 165,113.79 is: 247,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,662.98 : 314,231.94 = 165,113.79 : x
  2. Step 2: Convert to fraction form
    209,662.98/314,231.94 = 165,113.79/x
  3. Step 3: Cross multiply
    209,662.98x = 314,231.94 × 165,113.79
  4. Step 4: Simplify right side
    209,662.98x = 51,884,026,552.45
  5. Step 5: Solve for x
    x = 51,884,026,552.45/209,662.98
  6. Step 6: Final answer
    x = 247,463.94

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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.