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Finding the Fourth Proportional to 209,633.28, 314,499.06 and 69,391.86

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Solution

The fourth proportional to 209,633.28, 314,499.06 and 69,391.86 is: 104,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,633.28 : 314,499.06 = 69,391.86 : x
  2. Step 2: Convert to fraction form
    209,633.28/314,499.06 = 69,391.86/x
  3. Step 3: Cross multiply
    209,633.28x = 314,499.06 × 69,391.86
  4. Step 4: Simplify right side
    209,633.28x = 21,823,674,741.65
  5. Step 5: Solve for x
    x = 21,823,674,741.65/209,633.28
  6. Step 6: Final answer
    x = 104,104.06

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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.