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Finding the Fourth Proportional to 209,853.91, 314,825.84 and 67,707.28

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Solution

The fourth proportional to 209,853.91, 314,825.84 and 67,707.28 is: 101,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,853.91 : 314,825.84 = 67,707.28 : x
  2. Step 2: Convert to fraction form
    209,853.91/314,825.84 = 67,707.28/x
  3. Step 3: Cross multiply
    209,853.91x = 314,825.84 × 67,707.28
  4. Step 4: Simplify right side
    209,853.91x = 21,316,001,300.12
  5. Step 5: Solve for x
    x = 21,316,001,300.12/209,853.91
  6. Step 6: Final answer
    x = 101,575.43

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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.