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Finding the Fourth Proportional to 270,085.97, 405,129.14 and 70,405.85

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Solution

The fourth proportional to 270,085.97, 405,129.14 and 70,405.85 is: 105,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,085.97 : 405,129.14 = 70,405.85 : x
  2. Step 2: Convert to fraction form
    270,085.97/405,129.14 = 70,405.85/x
  3. Step 3: Cross multiply
    270,085.97x = 405,129.14 × 70,405.85
  4. Step 4: Simplify right side
    270,085.97x = 28,523,461,461.47
  5. Step 5: Solve for x
    x = 28,523,461,461.47/270,085.97
  6. Step 6: Final answer
    x = 105,608.82

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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.