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Finding the Fourth Proportional to 200,790.84, 301,123.36 and 72,690.96

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Solution

The fourth proportional to 200,790.84, 301,123.36 and 72,690.96 is: 109,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,790.84 : 301,123.36 = 72,690.96 : x
  2. Step 2: Convert to fraction form
    200,790.84/301,123.36 = 72,690.96/x
  3. Step 3: Cross multiply
    200,790.84x = 301,123.36 × 72,690.96
  4. Step 4: Simplify right side
    200,790.84x = 21,888,946,116.83
  5. Step 5: Solve for x
    x = 21,888,946,116.83/200,790.84
  6. Step 6: Final answer
    x = 109,013.67

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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.