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Finding the Fourth Proportional to 198,508.98, 297,779.64 and 119,089.67

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Solution

The fourth proportional to 198,508.98, 297,779.64 and 119,089.67 is: 178,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,508.98 : 297,779.64 = 119,089.67 : x
  2. Step 2: Convert to fraction form
    198,508.98/297,779.64 = 119,089.67/x
  3. Step 3: Cross multiply
    198,508.98x = 297,779.64 × 119,089.67
  4. Step 4: Simplify right side
    198,508.98x = 35,462,478,632.22
  5. Step 5: Solve for x
    x = 35,462,478,632.22/198,508.98
  6. Step 6: Final answer
    x = 178,644.21

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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.