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Finding the Fourth Proportional to 198,197.08, 297,314.76 and 56,047

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Solution

The fourth proportional to 198,197.08, 297,314.76 and 56,047 is: 84,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,197.08 : 297,314.76 = 56,047 : x
  2. Step 2: Convert to fraction form
    198,197.08/297,314.76 = 56,047/x
  3. Step 3: Cross multiply
    198,197.08x = 297,314.76 × 56,047
  4. Step 4: Simplify right side
    198,197.08x = 16,663,600,353.72
  5. Step 5: Solve for x
    x = 16,663,600,353.72/198,197.08
  6. Step 6: Final answer
    x = 84,075.91

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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.