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Finding the Fourth Proportional to 209,797.62, 314,827.68 and 85,138.62

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Solution

The fourth proportional to 209,797.62, 314,827.68 and 85,138.62 is: 127,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,797.62 : 314,827.68 = 85,138.62 : x
  2. Step 2: Convert to fraction form
    209,797.62/314,827.68 = 85,138.62/x
  3. Step 3: Cross multiply
    209,797.62x = 314,827.68 × 85,138.62
  4. Step 4: Simplify right side
    209,797.62x = 26,803,994,213.00
  5. Step 5: Solve for x
    x = 26,803,994,213.00/209,797.62
  6. Step 6: Final answer
    x = 127,761.19

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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.