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Finding the Fourth Proportional to 47,215, 70,825.74 and 15,625

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Solution

The fourth proportional to 47,215, 70,825.74 and 15,625 is: 23,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,215 : 70,825.74 = 15,625 : x
  2. Step 2: Convert to fraction form
    47,215/70,825.74 = 15,625/x
  3. Step 3: Cross multiply
    47,215x = 70,825.74 × 15,625
  4. Step 4: Simplify right side
    47,215x = 1,106,652,187.50
  5. Step 5: Solve for x
    x = 1,106,652,187.50/47,215
  6. Step 6: Final answer
    x = 23,438.57

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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.