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Finding the Fourth Proportional to 208,301.40, 312,387.30 and 75,164.31

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Solution

The fourth proportional to 208,301.40, 312,387.30 and 75,164.31 is: 112,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,301.40 : 312,387.30 = 75,164.31 : x
  2. Step 2: Convert to fraction form
    208,301.40/312,387.30 = 75,164.31/x
  3. Step 3: Cross multiply
    208,301.40x = 312,387.30 × 75,164.31
  4. Step 4: Simplify right side
    208,301.40x = 23,480,375,857.26
  5. Step 5: Solve for x
    x = 23,480,375,857.26/208,301.40
  6. Step 6: Final answer
    x = 112,723.08

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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.