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Finding the Fourth Proportional to 199,706,672.80, 299,588,002.80 and 78,509,936.80

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Solution

The fourth proportional to 199,706,672.80, 299,588,002.80 and 78,509,936.80 is: 117,775,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,706,672.80 : 299,588,002.80 = 78,509,936.80 : x
  2. Step 2: Convert to fraction form
    199,706,672.80/299,588,002.80 = 78,509,936.80/x
  3. Step 3: Cross multiply
    199,706,672.80x = 299,588,002.80 × 78,509,936.80
  4. Step 4: Simplify right side
    199,706,672.80x = 23,520,635,165,866,224
  5. Step 5: Solve for x
    x = 23,520,635,165,866,224/199,706,672.80
  6. Step 6: Final answer
    x = 117,775,910.22

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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.