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Finding the Fourth Proportional to 93,744, 140,616 and 28,080

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Solution

The fourth proportional to 93,744, 140,616 and 28,080 is: 42,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,744 : 140,616 = 28,080 : x
  2. Step 2: Convert to fraction form
    93,744/140,616 = 28,080/x
  3. Step 3: Cross multiply
    93,744x = 140,616 × 28,080
  4. Step 4: Simplify right side
    93,744x = 3,948,497,280
  5. Step 5: Solve for x
    x = 3,948,497,280/93,744
  6. Step 6: Final answer
    x = 42,120

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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.