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Finding the Fourth Proportional to 208,581.96, 312,685.74 and 75,430.92

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Solution

The fourth proportional to 208,581.96, 312,685.74 and 75,430.92 is: 113,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,581.96 : 312,685.74 = 75,430.92 : x
  2. Step 2: Convert to fraction form
    208,581.96/312,685.74 = 75,430.92/x
  3. Step 3: Cross multiply
    208,581.96x = 312,685.74 × 75,430.92
  4. Step 4: Simplify right side
    208,581.96x = 23,586,173,039.08
  5. Step 5: Solve for x
    x = 23,586,173,039.08/208,581.96
  6. Step 6: Final answer
    x = 113,078.68

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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.