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Finding the Fourth Proportional to 213,897.66, 321,161.90 and 119,312.64

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Solution

The fourth proportional to 213,897.66, 321,161.90 and 119,312.64 is: 179,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,897.66 : 321,161.90 = 119,312.64 : x
  2. Step 2: Convert to fraction form
    213,897.66/321,161.90 = 119,312.64/x
  3. Step 3: Cross multiply
    213,897.66x = 321,161.90 × 119,312.64
  4. Step 4: Simplify right side
    213,897.66x = 38,318,673,559.85
  5. Step 5: Solve for x
    x = 38,318,673,559.85/213,897.66
  6. Step 6: Final answer
    x = 179,144.89

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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.