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Finding the Fourth Proportional to 47,243, 70,867.74 and 15,653

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Solution

The fourth proportional to 47,243, 70,867.74 and 15,653 is: 23,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,243 : 70,867.74 = 15,653 : x
  2. Step 2: Convert to fraction form
    47,243/70,867.74 = 15,653/x
  3. Step 3: Cross multiply
    47,243x = 70,867.74 × 15,653
  4. Step 4: Simplify right side
    47,243x = 1,109,292,734.22
  5. Step 5: Solve for x
    x = 1,109,292,734.22/47,243
  6. Step 6: Final answer
    x = 23,480.57

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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.