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Finding the Fourth Proportional to 199,498.64, 299,296.76 and 66,378.64

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Solution

The fourth proportional to 199,498.64, 299,296.76 and 66,378.64 is: 99,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,498.64 : 299,296.76 = 66,378.64 : x
  2. Step 2: Convert to fraction form
    199,498.64/299,296.76 = 66,378.64/x
  3. Step 3: Cross multiply
    199,498.64x = 299,296.76 × 66,378.64
  4. Step 4: Simplify right side
    199,498.64x = 19,866,911,885.21
  5. Step 5: Solve for x
    x = 19,866,911,885.21/199,498.64
  6. Step 6: Final answer
    x = 99,584.20

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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.