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Finding the Fourth Proportional to 211,065.40, 316,329.30 and 86,265.40

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Solution

The fourth proportional to 211,065.40, 316,329.30 and 86,265.40 is: 129,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,065.40 : 316,329.30 = 86,265.40 : x
  2. Step 2: Convert to fraction form
    211,065.40/316,329.30 = 86,265.40/x
  3. Step 3: Cross multiply
    211,065.40x = 316,329.30 × 86,265.40
  4. Step 4: Simplify right side
    211,065.40x = 27,288,273,596.22
  5. Step 5: Solve for x
    x = 27,288,273,596.22/211,065.40
  6. Step 6: Final answer
    x = 129,288.24

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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.