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Finding the Fourth Proportional to 205,152.90, 307,556.55 and 106,656.90

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Solution

The fourth proportional to 205,152.90, 307,556.55 and 106,656.90 is: 159,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152.90 : 307,556.55 = 106,656.90 : x
  2. Step 2: Convert to fraction form
    205,152.90/307,556.55 = 106,656.90/x
  3. Step 3: Cross multiply
    205,152.90x = 307,556.55 × 106,656.90
  4. Step 4: Simplify right side
    205,152.90x = 32,803,028,197.70
  5. Step 5: Solve for x
    x = 32,803,028,197.70/205,152.90
  6. Step 6: Final answer
    x = 159,895.51

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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.