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Finding the Fourth Proportional to 205,325.60, 307,696.80 and 142,923.20

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Solution

The fourth proportional to 205,325.60, 307,696.80 and 142,923.20 is: 214,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325.60 : 307,696.80 = 142,923.20 : x
  2. Step 2: Convert to fraction form
    205,325.60/307,696.80 = 142,923.20/x
  3. Step 3: Cross multiply
    205,325.60x = 307,696.80 × 142,923.20
  4. Step 4: Simplify right side
    205,325.60x = 43,977,011,285.76
  5. Step 5: Solve for x
    x = 43,977,011,285.76/205,325.60
  6. Step 6: Final answer
    x = 214,181.82

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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.