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Finding the Fourth Proportional to 47,099.88, 70,648.20 and 12,039.84

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Solution

The fourth proportional to 47,099.88, 70,648.20 and 12,039.84 is: 18,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099.88 : 70,648.20 = 12,039.84 : x
  2. Step 2: Convert to fraction form
    47,099.88/70,648.20 = 12,039.84/x
  3. Step 3: Cross multiply
    47,099.88x = 70,648.20 × 12,039.84
  4. Step 4: Simplify right side
    47,099.88x = 850,593,024.29
  5. Step 5: Solve for x
    x = 850,593,024.29/47,099.88
  6. Step 6: Final answer
    x = 18,059.35

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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.