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Finding the Fourth Proportional to 40,080, 60,129.90 and 12,378

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Solution

The fourth proportional to 40,080, 60,129.90 and 12,378 is: 18,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,080 : 60,129.90 = 12,378 : x
  2. Step 2: Convert to fraction form
    40,080/60,129.90 = 12,378/x
  3. Step 3: Cross multiply
    40,080x = 60,129.90 × 12,378
  4. Step 4: Simplify right side
    40,080x = 744,287,902.20
  5. Step 5: Solve for x
    x = 744,287,902.20/40,080
  6. Step 6: Final answer
    x = 18,570.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.