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Finding the Fourth Proportional to 199,409.57, 299,172.27 and 64,470.76

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Solution

The fourth proportional to 199,409.57, 299,172.27 and 64,470.76 is: 96,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,409.57 : 299,172.27 = 64,470.76 : x
  2. Step 2: Convert to fraction form
    199,409.57/299,172.27 = 64,470.76/x
  3. Step 3: Cross multiply
    199,409.57x = 299,172.27 × 64,470.76
  4. Step 4: Simplify right side
    199,409.57x = 19,287,863,617.83
  5. Step 5: Solve for x
    x = 19,287,863,617.83/199,409.57
  6. Step 6: Final answer
    x = 96,724.86

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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.