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Finding the Fourth Proportional to 211,557.75, 317,366.25 and 61,809

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Solution

The fourth proportional to 211,557.75, 317,366.25 and 61,809 is: 92,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,557.75 : 317,366.25 = 61,809 : x
  2. Step 2: Convert to fraction form
    211,557.75/317,366.25 = 61,809/x
  3. Step 3: Cross multiply
    211,557.75x = 317,366.25 × 61,809
  4. Step 4: Simplify right side
    211,557.75x = 19,616,090,546.25
  5. Step 5: Solve for x
    x = 19,616,090,546.25/211,557.75
  6. Step 6: Final answer
    x = 92,722.16

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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.