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Finding the Fourth Proportional to 67,190, 100,722.68 and 29,730.16

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Solution

The fourth proportional to 67,190, 100,722.68 and 29,730.16 is: 44,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,190 : 100,722.68 = 29,730.16 : x
  2. Step 2: Convert to fraction form
    67,190/100,722.68 = 29,730.16/x
  3. Step 3: Cross multiply
    67,190x = 100,722.68 × 29,730.16
  4. Step 4: Simplify right side
    67,190x = 2,994,501,392.03
  5. Step 5: Solve for x
    x = 2,994,501,392.03/67,190
  6. Step 6: Final answer
    x = 44,567.66

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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.