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Finding the Fourth Proportional to 199,942.80, 299,947.80 and 59,715.60

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Solution

The fourth proportional to 199,942.80, 299,947.80 and 59,715.60 is: 89,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,942.80 : 299,947.80 = 59,715.60 : x
  2. Step 2: Convert to fraction form
    199,942.80/299,947.80 = 59,715.60/x
  3. Step 3: Cross multiply
    199,942.80x = 299,947.80 × 59,715.60
  4. Step 4: Simplify right side
    199,942.80x = 17,911,562,845.68
  5. Step 5: Solve for x
    x = 17,911,562,845.68/199,942.80
  6. Step 6: Final answer
    x = 89,583.44

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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.