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Finding the Fourth Proportional to 198,533.80, 297,895.74 and 123,633.64

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Solution

The fourth proportional to 198,533.80, 297,895.74 and 123,633.64 is: 185,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,533.80 : 297,895.74 = 123,633.64 : x
  2. Step 2: Convert to fraction form
    198,533.80/297,895.74 = 123,633.64/x
  3. Step 3: Cross multiply
    198,533.80x = 297,895.74 × 123,633.64
  4. Step 4: Simplify right side
    198,533.80x = 36,829,934,676.69
  5. Step 5: Solve for x
    x = 36,829,934,676.69/198,533.80
  6. Step 6: Final answer
    x = 185,509.64

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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.