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Finding the Fourth Proportional to 180,122.87, 270,189.77 and 61,792.50

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Solution

The fourth proportional to 180,122.87, 270,189.77 and 61,792.50 is: 92,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,122.87 : 270,189.77 = 61,792.50 : x
  2. Step 2: Convert to fraction form
    180,122.87/270,189.77 = 61,792.50/x
  3. Step 3: Cross multiply
    180,122.87x = 270,189.77 × 61,792.50
  4. Step 4: Simplify right side
    180,122.87x = 16,695,701,053.76
  5. Step 5: Solve for x
    x = 16,695,701,053.76/180,122.87
  6. Step 6: Final answer
    x = 92,690.63

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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.