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Finding the Fourth Proportional to 211,236.60, 316,970.10 and 86,590.20

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Solution

The fourth proportional to 211,236.60, 316,970.10 and 86,590.20 is: 129,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,236.60 : 316,970.10 = 86,590.20 : x
  2. Step 2: Convert to fraction form
    211,236.60/316,970.10 = 86,590.20/x
  3. Step 3: Cross multiply
    211,236.60x = 316,970.10 × 86,590.20
  4. Step 4: Simplify right side
    211,236.60x = 27,446,504,353.02
  5. Step 5: Solve for x
    x = 27,446,504,353.02/211,236.60
  6. Step 6: Final answer
    x = 129,932.52

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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.