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Finding the Fourth Proportional to 208,090.68, 312,182.46 and 81,743.16

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Solution

The fourth proportional to 208,090.68, 312,182.46 and 81,743.16 is: 122,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090.68 : 312,182.46 = 81,743.16 : x
  2. Step 2: Convert to fraction form
    208,090.68/312,182.46 = 81,743.16/x
  3. Step 3: Cross multiply
    208,090.68x = 312,182.46 × 81,743.16
  4. Step 4: Simplify right side
    208,090.68x = 25,518,780,776.97
  5. Step 5: Solve for x
    x = 25,518,780,776.97/208,090.68
  6. Step 6: Final answer
    x = 122,632.98

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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.