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Finding the Fourth Proportional to 209,703.25, 314,243.73 and 154,027.09

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Solution

The fourth proportional to 209,703.25, 314,243.73 and 154,027.09 is: 230,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,703.25 : 314,243.73 = 154,027.09 : x
  2. Step 2: Convert to fraction form
    209,703.25/314,243.73 = 154,027.09/x
  3. Step 3: Cross multiply
    209,703.25x = 314,243.73 × 154,027.09
  4. Step 4: Simplify right side
    209,703.25x = 48,402,047,282.65
  5. Step 5: Solve for x
    x = 48,402,047,282.65/209,703.25
  6. Step 6: Final answer
    x = 230,812.10

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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.