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Finding the Fourth Proportional to 208,833.80, 313,347.90 and 109,106.60

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Solution

The fourth proportional to 208,833.80, 313,347.90 and 109,106.60 is: 163,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,833.80 : 313,347.90 = 109,106.60 : x
  2. Step 2: Convert to fraction form
    208,833.80/313,347.90 = 109,106.60/x
  3. Step 3: Cross multiply
    208,833.80x = 313,347.90 × 109,106.60
  4. Step 4: Simplify right side
    208,833.80x = 34,188,323,986.14
  5. Step 5: Solve for x
    x = 34,188,323,986.14/208,833.80
  6. Step 6: Final answer
    x = 163,710.68

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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.