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Finding the Fourth Proportional to 211,043.36, 316,581.42 and 61,286.10

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Solution

The fourth proportional to 211,043.36, 316,581.42 and 61,286.10 is: 91,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,043.36 : 316,581.42 = 61,286.10 : x
  2. Step 2: Convert to fraction form
    211,043.36/316,581.42 = 61,286.10/x
  3. Step 3: Cross multiply
    211,043.36x = 316,581.42 × 61,286.10
  4. Step 4: Simplify right side
    211,043.36x = 19,402,040,564.26
  5. Step 5: Solve for x
    x = 19,402,040,564.26/211,043.36
  6. Step 6: Final answer
    x = 91,933.91

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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.