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Finding the Fourth Proportional to 199,128.72, 298,683.36 and 74,460

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Solution

The fourth proportional to 199,128.72, 298,683.36 and 74,460 is: 111,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,128.72 : 298,683.36 = 74,460 : x
  2. Step 2: Convert to fraction form
    199,128.72/298,683.36 = 74,460/x
  3. Step 3: Cross multiply
    199,128.72x = 298,683.36 × 74,460
  4. Step 4: Simplify right side
    199,128.72x = 22,239,962,985.60
  5. Step 5: Solve for x
    x = 22,239,962,985.60/199,128.72
  6. Step 6: Final answer
    x = 111,686.37

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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.