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Finding the Fourth Proportional to 211,046.40, 316,300.80 and 86,246.40

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Solution

The fourth proportional to 211,046.40, 316,300.80 and 86,246.40 is: 129,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,046.40 : 316,300.80 = 86,246.40 : x
  2. Step 2: Convert to fraction form
    211,046.40/316,300.80 = 86,246.40/x
  3. Step 3: Cross multiply
    211,046.40x = 316,300.80 × 86,246.40
  4. Step 4: Simplify right side
    211,046.40x = 27,279,805,317.12
  5. Step 5: Solve for x
    x = 27,279,805,317.12/211,046.40
  6. Step 6: Final answer
    x = 129,259.75

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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.