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Finding the Fourth Proportional to 208,491.84, 312,734.66 and 66,345.75

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Solution

The fourth proportional to 208,491.84, 312,734.66 and 66,345.75 is: 99,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,491.84 : 312,734.66 = 66,345.75 : x
  2. Step 2: Convert to fraction form
    208,491.84/312,734.66 = 66,345.75/x
  3. Step 3: Cross multiply
    208,491.84x = 312,734.66 × 66,345.75
  4. Step 4: Simplify right side
    208,491.84x = 20,748,615,236.97
  5. Step 5: Solve for x
    x = 20,748,615,236.97/208,491.84
  6. Step 6: Final answer
    x = 99,517.64

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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.