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Finding the Fourth Proportional to 199,830.62, 299,893.80 and 94,649.90

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Solution

The fourth proportional to 199,830.62, 299,893.80 and 94,649.90 is: 142,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,830.62 : 299,893.80 = 94,649.90 : x
  2. Step 2: Convert to fraction form
    199,830.62/299,893.80 = 94,649.90/x
  3. Step 3: Cross multiply
    199,830.62x = 299,893.80 × 94,649.90
  4. Step 4: Simplify right side
    199,830.62x = 28,384,918,180.62
  5. Step 5: Solve for x
    x = 28,384,918,180.62/199,830.62
  6. Step 6: Final answer
    x = 142,044.89

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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.