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Finding the Fourth Proportional to 199,322.88, 298,985.39 and 51,578.88

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Solution

The fourth proportional to 199,322.88, 298,985.39 and 51,578.88 is: 77,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,322.88 : 298,985.39 = 51,578.88 : x
  2. Step 2: Convert to fraction form
    199,322.88/298,985.39 = 51,578.88/x
  3. Step 3: Cross multiply
    199,322.88x = 298,985.39 × 51,578.88
  4. Step 4: Simplify right side
    199,322.88x = 15,421,331,552.56
  5. Step 5: Solve for x
    x = 15,421,331,552.56/199,322.88
  6. Step 6: Final answer
    x = 77,368.60

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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.