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Finding the Fourth Proportional to 211,615.68, 317,418.48 and 53,844.32

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Solution

The fourth proportional to 211,615.68, 317,418.48 and 53,844.32 is: 80,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,615.68 : 317,418.48 = 53,844.32 : x
  2. Step 2: Convert to fraction form
    211,615.68/317,418.48 = 53,844.32/x
  3. Step 3: Cross multiply
    211,615.68x = 317,418.48 × 53,844.32
  4. Step 4: Simplify right side
    211,615.68x = 17,091,182,211.03
  5. Step 5: Solve for x
    x = 17,091,182,211.03/211,615.68
  6. Step 6: Final answer
    x = 80,765.20

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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.