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Finding the Fourth Proportional to 70,245.73, 105,423.95 and 30,830.05

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Solution

The fourth proportional to 70,245.73, 105,423.95 and 30,830.05 is: 46,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,245.73 : 105,423.95 = 30,830.05 : x
  2. Step 2: Convert to fraction form
    70,245.73/105,423.95 = 30,830.05/x
  3. Step 3: Cross multiply
    70,245.73x = 105,423.95 × 30,830.05
  4. Step 4: Simplify right side
    70,245.73x = 3,250,225,649.70
  5. Step 5: Solve for x
    x = 3,250,225,649.70/70,245.73
  6. Step 6: Final answer
    x = 46,269.37

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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.