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Finding the Fourth Proportional to 42,914, 64,371.09 and 18,290

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Solution

The fourth proportional to 42,914, 64,371.09 and 18,290 is: 27,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,914 : 64,371.09 = 18,290 : x
  2. Step 2: Convert to fraction form
    42,914/64,371.09 = 18,290/x
  3. Step 3: Cross multiply
    42,914x = 64,371.09 × 18,290
  4. Step 4: Simplify right side
    42,914x = 1,177,347,236.10
  5. Step 5: Solve for x
    x = 1,177,347,236.10/42,914
  6. Step 6: Final answer
    x = 27,435.04

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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.