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Finding the Fourth Proportional to 144,303.90, 199,135.94 and 80,654

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Solution

The fourth proportional to 144,303.90, 199,135.94 and 80,654 is: 111,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,303.90 : 199,135.94 = 80,654 : x
  2. Step 2: Convert to fraction form
    144,303.90/199,135.94 = 80,654/x
  3. Step 3: Cross multiply
    144,303.90x = 199,135.94 × 80,654
  4. Step 4: Simplify right side
    144,303.90x = 16,061,110,104.76
  5. Step 5: Solve for x
    x = 16,061,110,104.76/144,303.90
  6. Step 6: Final answer
    x = 111,300.60

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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.