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Finding the Fourth Proportional to 47,296.80, 70,948.44 and 12,240

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Solution

The fourth proportional to 47,296.80, 70,948.44 and 12,240 is: 18,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,296.80 : 70,948.44 = 12,240 : x
  2. Step 2: Convert to fraction form
    47,296.80/70,948.44 = 12,240/x
  3. Step 3: Cross multiply
    47,296.80x = 70,948.44 × 12,240
  4. Step 4: Simplify right side
    47,296.80x = 868,408,905.60
  5. Step 5: Solve for x
    x = 868,408,905.60/47,296.80
  6. Step 6: Final answer
    x = 18,360.84

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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.