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Finding the Fourth Proportional to 42,912, 64,394.88 and 18,288

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Solution

The fourth proportional to 42,912, 64,394.88 and 18,288 is: 27,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912 : 64,394.88 = 18,288 : x
  2. Step 2: Convert to fraction form
    42,912/64,394.88 = 18,288/x
  3. Step 3: Cross multiply
    42,912x = 64,394.88 × 18,288
  4. Step 4: Simplify right side
    42,912x = 1,177,653,565.44
  5. Step 5: Solve for x
    x = 1,177,653,565.44/42,912
  6. Step 6: Final answer
    x = 27,443.46

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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.