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Finding the Fourth Proportional to 209,175.24, 313,762.86 and 84,603.72

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Solution

The fourth proportional to 209,175.24, 313,762.86 and 84,603.72 is: 126,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,175.24 : 313,762.86 = 84,603.72 : x
  2. Step 2: Convert to fraction form
    209,175.24/313,762.86 = 84,603.72/x
  3. Step 3: Cross multiply
    209,175.24x = 313,762.86 × 84,603.72
  4. Step 4: Simplify right side
    209,175.24x = 26,545,505,153.84
  5. Step 5: Solve for x
    x = 26,545,505,153.84/209,175.24
  6. Step 6: Final answer
    x = 126,905.58

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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.