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Finding the Fourth Proportional to 101,784.70, 140,511 and 67,849.75

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Solution

The fourth proportional to 101,784.70, 140,511 and 67,849.75 is: 93,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.70 : 140,511 = 67,849.75 : x
  2. Step 2: Convert to fraction form
    101,784.70/140,511 = 67,849.75/x
  3. Step 3: Cross multiply
    101,784.70x = 140,511 × 67,849.75
  4. Step 4: Simplify right side
    101,784.70x = 9,533,636,222.25
  5. Step 5: Solve for x
    x = 9,533,636,222.25/101,784.70
  6. Step 6: Final answer
    x = 93,664.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.