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Finding the Fourth Proportional to 30,942, 42,705.36 and 18,366.48

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Solution

The fourth proportional to 30,942, 42,705.36 and 18,366.48 is: 25,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942 : 42,705.36 = 18,366.48 : x
  2. Step 2: Convert to fraction form
    30,942/42,705.36 = 18,366.48/x
  3. Step 3: Cross multiply
    30,942x = 42,705.36 × 18,366.48
  4. Step 4: Simplify right side
    30,942x = 784,347,140.33
  5. Step 5: Solve for x
    x = 784,347,140.33/30,942
  6. Step 6: Final answer
    x = 25,348.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.