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Finding the Fourth Proportional to 201,023.40, 301,097.70 and 121,999.80

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Solution

The fourth proportional to 201,023.40, 301,097.70 and 121,999.80 is: 182,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,023.40 : 301,097.70 = 121,999.80 : x
  2. Step 2: Convert to fraction form
    201,023.40/301,097.70 = 121,999.80/x
  3. Step 3: Cross multiply
    201,023.40x = 301,097.70 × 121,999.80
  4. Step 4: Simplify right side
    201,023.40x = 36,733,859,180.46
  5. Step 5: Solve for x
    x = 36,733,859,180.46/201,023.40
  6. Step 6: Final answer
    x = 182,734.24

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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.