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Finding the Fourth Proportional to 199,764.92, 299,668.44 and 66,598.76

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Solution

The fourth proportional to 199,764.92, 299,668.44 and 66,598.76 is: 99,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,764.92 : 299,668.44 = 66,598.76 : x
  2. Step 2: Convert to fraction form
    199,764.92/299,668.44 = 66,598.76/x
  3. Step 3: Cross multiply
    199,764.92x = 299,668.44 × 66,598.76
  4. Step 4: Simplify right side
    199,764.92x = 19,957,546,515.13
  5. Step 5: Solve for x
    x = 19,957,546,515.13/199,764.92
  6. Step 6: Final answer
    x = 99,905.16

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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.