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Finding the Fourth Proportional to 70,384.02, 105,582.90 and 20,464.50

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Solution

The fourth proportional to 70,384.02, 105,582.90 and 20,464.50 is: 30,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384.02 : 105,582.90 = 20,464.50 : x
  2. Step 2: Convert to fraction form
    70,384.02/105,582.90 = 20,464.50/x
  3. Step 3: Cross multiply
    70,384.02x = 105,582.90 × 20,464.50
  4. Step 4: Simplify right side
    70,384.02x = 2,160,701,257.05
  5. Step 5: Solve for x
    x = 2,160,701,257.05/70,384.02
  6. Step 6: Final answer
    x = 30,698.75

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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.