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Finding the Fourth Proportional to 199,905.33, 299,673.47 and 99,978.57

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Solution

The fourth proportional to 199,905.33, 299,673.47 and 99,978.57 is: 149,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,905.33 : 299,673.47 = 99,978.57 : x
  2. Step 2: Convert to fraction form
    199,905.33/299,673.47 = 99,978.57/x
  3. Step 3: Cross multiply
    199,905.33x = 299,673.47 × 99,978.57
  4. Step 4: Simplify right side
    199,905.33x = 29,960,924,997.54
  5. Step 5: Solve for x
    x = 29,960,924,997.54/199,905.33
  6. Step 6: Final answer
    x = 149,875.57

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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.