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Finding the Fourth Proportional to 211,765.38, 317,656.70 and 53,997.92

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Solution

The fourth proportional to 211,765.38, 317,656.70 and 53,997.92 is: 80,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,765.38 : 317,656.70 = 53,997.92 : x
  2. Step 2: Convert to fraction form
    211,765.38/317,656.70 = 53,997.92/x
  3. Step 3: Cross multiply
    211,765.38x = 317,656.70 × 53,997.92
  4. Step 4: Simplify right side
    211,765.38x = 17,152,801,074.06
  5. Step 5: Solve for x
    x = 17,152,801,074.06/211,765.38
  6. Step 6: Final answer
    x = 80,999.08

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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.