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Finding the Fourth Proportional to 208,739.16, 313,132.50 and 75,682.08

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Solution

The fourth proportional to 208,739.16, 313,132.50 and 75,682.08 is: 113,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,739.16 : 313,132.50 = 75,682.08 : x
  2. Step 2: Convert to fraction form
    208,739.16/313,132.50 = 75,682.08/x
  3. Step 3: Cross multiply
    208,739.16x = 313,132.50 × 75,682.08
  4. Step 4: Simplify right side
    208,739.16x = 23,698,518,915.60
  5. Step 5: Solve for x
    x = 23,698,518,915.60/208,739.16
  6. Step 6: Final answer
    x = 113,531.73

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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.