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Finding the Fourth Proportional to 270,134.83, 405,219.53 and 103,922.83

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Solution

The fourth proportional to 270,134.83, 405,219.53 and 103,922.83 is: 155,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,134.83 : 405,219.53 = 103,922.83 : x
  2. Step 2: Convert to fraction form
    270,134.83/405,219.53 = 103,922.83/x
  3. Step 3: Cross multiply
    270,134.83x = 405,219.53 × 103,922.83
  4. Step 4: Simplify right side
    270,134.83x = 42,111,559,809.26
  5. Step 5: Solve for x
    x = 42,111,559,809.26/270,134.83
  6. Step 6: Final answer
    x = 155,890.89

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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.