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Finding the Fourth Proportional to 211,092.80, 316,639.20 and 86,523.20

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Solution

The fourth proportional to 211,092.80, 316,639.20 and 86,523.20 is: 129,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,092.80 : 316,639.20 = 86,523.20 : x
  2. Step 2: Convert to fraction form
    211,092.80/316,639.20 = 86,523.20/x
  3. Step 3: Cross multiply
    211,092.80x = 316,639.20 × 86,523.20
  4. Step 4: Simplify right side
    211,092.80x = 27,396,636,829.44
  5. Step 5: Solve for x
    x = 27,396,636,829.44/211,092.80
  6. Step 6: Final answer
    x = 129,784.80

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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.