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Finding the Fourth Proportional to 211,420.80, 317,129.76 and 51,494.82

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Solution

The fourth proportional to 211,420.80, 317,129.76 and 51,494.82 is: 77,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,420.80 : 317,129.76 = 51,494.82 : x
  2. Step 2: Convert to fraction form
    211,420.80/317,129.76 = 51,494.82/x
  3. Step 3: Cross multiply
    211,420.80x = 317,129.76 × 51,494.82
  4. Step 4: Simplify right side
    211,420.80x = 16,330,539,907.84
  5. Step 5: Solve for x
    x = 16,330,539,907.84/211,420.80
  6. Step 6: Final answer
    x = 77,241.88

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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.