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Finding the Fourth Proportional to 208,606.73, 312,724.53 and 75,457.35

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Solution

The fourth proportional to 208,606.73, 312,724.53 and 75,457.35 is: 113,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,606.73 : 312,724.53 = 75,457.35 : x
  2. Step 2: Convert to fraction form
    208,606.73/312,724.53 = 75,457.35/x
  3. Step 3: Cross multiply
    208,606.73x = 312,724.53 × 75,457.35
  4. Step 4: Simplify right side
    208,606.73x = 23,597,364,313.80
  5. Step 5: Solve for x
    x = 23,597,364,313.80/208,606.73
  6. Step 6: Final answer
    x = 113,118.91

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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.