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Finding the Fourth Proportional to 219,343.72, 302,692.98 and 118,741

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Solution

The fourth proportional to 219,343.72, 302,692.98 and 118,741 is: 163,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,343.72 : 302,692.98 = 118,741 : x
  2. Step 2: Convert to fraction form
    219,343.72/302,692.98 = 118,741/x
  3. Step 3: Cross multiply
    219,343.72x = 302,692.98 × 118,741
  4. Step 4: Simplify right side
    219,343.72x = 35,942,067,138.18
  5. Step 5: Solve for x
    x = 35,942,067,138.18/219,343.72
  6. Step 6: Final answer
    x = 163,861.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.