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Finding the Fourth Proportional to 211,636.83, 317,454.33 and 76,669.29

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Solution

The fourth proportional to 211,636.83, 317,454.33 and 76,669.29 is: 115,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,636.83 : 317,454.33 = 76,669.29 : x
  2. Step 2: Convert to fraction form
    211,636.83/317,454.33 = 76,669.29/x
  3. Step 3: Cross multiply
    211,636.83x = 317,454.33 × 76,669.29
  4. Step 4: Simplify right side
    211,636.83x = 24,338,998,088.53
  5. Step 5: Solve for x
    x = 24,338,998,088.53/211,636.83
  6. Step 6: Final answer
    x = 115,003.60

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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.