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Finding the Fourth Proportional to 40,078, 60,117.81 and 12,376

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Solution

The fourth proportional to 40,078, 60,117.81 and 12,376 is: 18,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,078 : 60,117.81 = 12,376 : x
  2. Step 2: Convert to fraction form
    40,078/60,117.81 = 12,376/x
  3. Step 3: Cross multiply
    40,078x = 60,117.81 × 12,376
  4. Step 4: Simplify right side
    40,078x = 744,018,016.56
  5. Step 5: Solve for x
    x = 744,018,016.56/40,078
  6. Step 6: Final answer
    x = 18,564.25

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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.