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Finding the Fourth Proportional to 279,965.70, 419,948.55 and 92,977.20

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Solution

The fourth proportional to 279,965.70, 419,948.55 and 92,977.20 is: 139,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,965.70 : 419,948.55 = 92,977.20 : x
  2. Step 2: Convert to fraction form
    279,965.70/419,948.55 = 92,977.20/x
  3. Step 3: Cross multiply
    279,965.70x = 419,948.55 × 92,977.20
  4. Step 4: Simplify right side
    279,965.70x = 39,045,640,323.06
  5. Step 5: Solve for x
    x = 39,045,640,323.06/279,965.70
  6. Step 6: Final answer
    x = 139,465.80

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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.