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Finding the Fourth Proportional to 200,348,986.90, 300,348,520.35 and 77,611,047.70

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Solution

The fourth proportional to 200,348,986.90, 300,348,520.35 and 77,611,047.70 is: 116,348,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,348,986.90 : 300,348,520.35 = 77,611,047.70 : x
  2. Step 2: Convert to fraction form
    200,348,986.90/300,348,520.35 = 77,611,047.70/x
  3. Step 3: Cross multiply
    200,348,986.90x = 300,348,520.35 × 77,611,047.70
  4. Step 4: Simplify right side
    200,348,986.90x = 23,310,363,339,508,272
  5. Step 5: Solve for x
    x = 23,310,363,339,508,272/200,348,986.90
  6. Step 6: Final answer
    x = 116,348,795.67

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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.