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Finding the Fourth Proportional to 266,345, 367,556.10 and 147,120.68

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Solution

The fourth proportional to 266,345, 367,556.10 and 147,120.68 is: 203,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,345 : 367,556.10 = 147,120.68 : x
  2. Step 2: Convert to fraction form
    266,345/367,556.10 = 147,120.68/x
  3. Step 3: Cross multiply
    266,345x = 367,556.10 × 147,120.68
  4. Step 4: Simplify right side
    266,345x = 54,075,103,370.15
  5. Step 5: Solve for x
    x = 54,075,103,370.15/266,345
  6. Step 6: Final answer
    x = 203,026.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.