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Finding the Fourth Proportional to 199,671.60, 299,651.91 and 78,110.06

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Solution

The fourth proportional to 199,671.60, 299,651.91 and 78,110.06 is: 117,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,671.60 : 299,651.91 = 78,110.06 : x
  2. Step 2: Convert to fraction form
    199,671.60/299,651.91 = 78,110.06/x
  3. Step 3: Cross multiply
    199,671.60x = 299,651.91 × 78,110.06
  4. Step 4: Simplify right side
    199,671.60x = 23,405,830,065.41
  5. Step 5: Solve for x
    x = 23,405,830,065.41/199,671.60
  6. Step 6: Final answer
    x = 117,221.63

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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.