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Finding the Fourth Proportional to 199,897.92, 299,745 and 66,730.32

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Solution

The fourth proportional to 199,897.92, 299,745 and 66,730.32 is: 100,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,897.92 : 299,745 = 66,730.32 : x
  2. Step 2: Convert to fraction form
    199,897.92/299,745 = 66,730.32/x
  3. Step 3: Cross multiply
    199,897.92x = 299,745 × 66,730.32
  4. Step 4: Simplify right side
    199,897.92x = 20,002,079,768.40
  5. Step 5: Solve for x
    x = 20,002,079,768.40/199,897.92
  6. Step 6: Final answer
    x = 100,061.47

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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.