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Finding the Fourth Proportional to 209,796.18, 314,691.92 and 125,579.87

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Solution

The fourth proportional to 209,796.18, 314,691.92 and 125,579.87 is: 188,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,796.18 : 314,691.92 = 125,579.87 : x
  2. Step 2: Convert to fraction form
    209,796.18/314,691.92 = 125,579.87/x
  3. Step 3: Cross multiply
    209,796.18x = 314,691.92 × 125,579.87
  4. Step 4: Simplify right side
    209,796.18x = 39,518,969,853.31
  5. Step 5: Solve for x
    x = 39,518,969,853.31/209,796.18
  6. Step 6: Final answer
    x = 188,368.40

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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.