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Finding the Fourth Proportional to 144,990, 200,086.74 and 84,602.34

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Solution

The fourth proportional to 144,990, 200,086.74 and 84,602.34 is: 116,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,990 : 200,086.74 = 84,602.34 : x
  2. Step 2: Convert to fraction form
    144,990/200,086.74 = 84,602.34/x
  3. Step 3: Cross multiply
    144,990x = 200,086.74 × 84,602.34
  4. Step 4: Simplify right side
    144,990x = 16,927,806,406.97
  5. Step 5: Solve for x
    x = 16,927,806,406.97/144,990
  6. Step 6: Final answer
    x = 116,751.54

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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.