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Finding the Fourth Proportional to 209,456.63, 314,233.54 and 69,206.75

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Solution

The fourth proportional to 209,456.63, 314,233.54 and 69,206.75 is: 103,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,456.63 : 314,233.54 = 69,206.75 : x
  2. Step 2: Convert to fraction form
    209,456.63/314,233.54 = 69,206.75/x
  3. Step 3: Cross multiply
    209,456.63x = 314,233.54 × 69,206.75
  4. Step 4: Simplify right side
    209,456.63x = 21,747,080,127.19
  5. Step 5: Solve for x
    x = 21,747,080,127.19/209,456.63
  6. Step 6: Final answer
    x = 103,826.17

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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.