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Finding the Fourth Proportional to 46,992.78, 70,439.67 and 18,932.76

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Solution

The fourth proportional to 46,992.78, 70,439.67 and 18,932.76 is: 28,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992.78 : 70,439.67 = 18,932.76 : x
  2. Step 2: Convert to fraction form
    46,992.78/70,439.67 = 18,932.76/x
  3. Step 3: Cross multiply
    46,992.78x = 70,439.67 × 18,932.76
  4. Step 4: Simplify right side
    46,992.78x = 1,333,617,366.59
  5. Step 5: Solve for x
    x = 1,333,617,366.59/46,992.78
  6. Step 6: Final answer
    x = 28,379.20

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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.