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Finding the Fourth Proportional to 105,744, 158,616 and 40,080

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Solution

The fourth proportional to 105,744, 158,616 and 40,080 is: 60,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,744 : 158,616 = 40,080 : x
  2. Step 2: Convert to fraction form
    105,744/158,616 = 40,080/x
  3. Step 3: Cross multiply
    105,744x = 158,616 × 40,080
  4. Step 4: Simplify right side
    105,744x = 6,357,329,280
  5. Step 5: Solve for x
    x = 6,357,329,280/105,744
  6. Step 6: Final answer
    x = 60,120

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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.