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Finding the Fourth Proportional to 144,647.91, 199,602.63 and 80,977.05

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Solution

The fourth proportional to 144,647.91, 199,602.63 and 80,977.05 is: 111,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,647.91 : 199,602.63 = 80,977.05 : x
  2. Step 2: Convert to fraction form
    144,647.91/199,602.63 = 80,977.05/x
  3. Step 3: Cross multiply
    144,647.91x = 199,602.63 × 80,977.05
  4. Step 4: Simplify right side
    144,647.91x = 16,163,232,149.64
  5. Step 5: Solve for x
    x = 16,163,232,149.64/144,647.91
  6. Step 6: Final answer
    x = 111,741.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.