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Finding the Fourth Proportional to 93,784, 140,676 and 28,120

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Solution

The fourth proportional to 93,784, 140,676 and 28,120 is: 42,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,784 : 140,676 = 28,120 : x
  2. Step 2: Convert to fraction form
    93,784/140,676 = 28,120/x
  3. Step 3: Cross multiply
    93,784x = 140,676 × 28,120
  4. Step 4: Simplify right side
    93,784x = 3,955,809,120
  5. Step 5: Solve for x
    x = 3,955,809,120/93,784
  6. Step 6: Final answer
    x = 42,180

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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.