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Finding the Fourth Proportional to 198,300, 297,391.68 and 58,025.28

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Solution

The fourth proportional to 198,300, 297,391.68 and 58,025.28 is: 87,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,300 : 297,391.68 = 58,025.28 : x
  2. Step 2: Convert to fraction form
    198,300/297,391.68 = 58,025.28/x
  3. Step 3: Cross multiply
    198,300x = 297,391.68 × 58,025.28
  4. Step 4: Simplify right side
    198,300x = 17,256,235,501.67
  5. Step 5: Solve for x
    x = 17,256,235,501.67/198,300
  6. Step 6: Final answer
    x = 87,020.85

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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.