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Finding the Fourth Proportional to 70,586.22, 105,814.35 and 30,580.07

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Solution

The fourth proportional to 70,586.22, 105,814.35 and 30,580.07 is: 45,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,586.22 : 105,814.35 = 30,580.07 : x
  2. Step 2: Convert to fraction form
    70,586.22/105,814.35 = 30,580.07/x
  3. Step 3: Cross multiply
    70,586.22x = 105,814.35 × 30,580.07
  4. Step 4: Simplify right side
    70,586.22x = 3,235,809,700.93
  5. Step 5: Solve for x
    x = 3,235,809,700.93/70,586.22
  6. Step 6: Final answer
    x = 45,841.95

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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.