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Finding the Fourth Proportional to 45,539.74, 68,340.48 and 15,958

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Solution

The fourth proportional to 45,539.74, 68,340.48 and 15,958 is: 23,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,539.74 : 68,340.48 = 15,958 : x
  2. Step 2: Convert to fraction form
    45,539.74/68,340.48 = 15,958/x
  3. Step 3: Cross multiply
    45,539.74x = 68,340.48 × 15,958
  4. Step 4: Simplify right side
    45,539.74x = 1,090,577,379.84
  5. Step 5: Solve for x
    x = 1,090,577,379.84/45,539.74
  6. Step 6: Final answer
    x = 23,947.82

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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.