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Finding the Fourth Proportional to 208,598.93, 312,712.80 and 75,449.57

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Solution

The fourth proportional to 208,598.93, 312,712.80 and 75,449.57 is: 113,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,598.93 : 312,712.80 = 75,449.57 : x
  2. Step 2: Convert to fraction form
    208,598.93/312,712.80 = 75,449.57/x
  3. Step 3: Cross multiply
    208,598.93x = 312,712.80 × 75,449.57
  4. Step 4: Simplify right side
    208,598.93x = 23,594,046,293.50
  5. Step 5: Solve for x
    x = 23,594,046,293.50/208,598.93
  6. Step 6: Final answer
    x = 113,107.23

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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.