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Finding the Fourth Proportional to 205,223.60, 307,543.80 and 142,821.20

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Solution

The fourth proportional to 205,223.60, 307,543.80 and 142,821.20 is: 214,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,223.60 : 307,543.80 = 142,821.20 : x
  2. Step 2: Convert to fraction form
    205,223.60/307,543.80 = 142,821.20/x
  3. Step 3: Cross multiply
    205,223.60x = 307,543.80 × 142,821.20
  4. Step 4: Simplify right side
    205,223.60x = 43,923,774,568.56
  5. Step 5: Solve for x
    x = 43,923,774,568.56/205,223.60
  6. Step 6: Final answer
    x = 214,028.87

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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.