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Finding the Fourth Proportional to 147,196.60, 220,811.10 and 47,339.80

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Solution

The fourth proportional to 147,196.60, 220,811.10 and 47,339.80 is: 71,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,196.60 : 220,811.10 = 47,339.80 : x
  2. Step 2: Convert to fraction form
    147,196.60/220,811.10 = 47,339.80/x
  3. Step 3: Cross multiply
    147,196.60x = 220,811.10 × 47,339.80
  4. Step 4: Simplify right side
    147,196.60x = 10,453,153,311.78
  5. Step 5: Solve for x
    x = 10,453,153,311.78/147,196.60
  6. Step 6: Final answer
    x = 71,014.91

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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.