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Finding the Fourth Proportional to 144,643.32, 199,628.74 and 80,985.22

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Solution

The fourth proportional to 144,643.32, 199,628.74 and 80,985.22 is: 111,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,643.32 : 199,628.74 = 80,985.22 : x
  2. Step 2: Convert to fraction form
    144,643.32/199,628.74 = 80,985.22/x
  3. Step 3: Cross multiply
    144,643.32x = 199,628.74 × 80,985.22
  4. Step 4: Simplify right side
    144,643.32x = 16,166,977,427.22
  5. Step 5: Solve for x
    x = 16,166,977,427.22/144,643.32
  6. Step 6: Final answer
    x = 111,771.34

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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.