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Finding the Fourth Proportional to 205,166.40, 307,749.60 and 160,929.60

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Solution

The fourth proportional to 205,166.40, 307,749.60 and 160,929.60 is: 241,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,166.40 : 307,749.60 = 160,929.60 : x
  2. Step 2: Convert to fraction form
    205,166.40/307,749.60 = 160,929.60/x
  3. Step 3: Cross multiply
    205,166.40x = 307,749.60 × 160,929.60
  4. Step 4: Simplify right side
    205,166.40x = 49,526,020,028.16
  5. Step 5: Solve for x
    x = 49,526,020,028.16/205,166.40
  6. Step 6: Final answer
    x = 241,394.40

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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.