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Finding the Fourth Proportional to 147,647.80, 221,504.10 and 72,803.80

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Solution

The fourth proportional to 147,647.80, 221,504.10 and 72,803.80 is: 109,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,647.80 : 221,504.10 = 72,803.80 : x
  2. Step 2: Convert to fraction form
    147,647.80/221,504.10 = 72,803.80/x
  3. Step 3: Cross multiply
    147,647.80x = 221,504.10 × 72,803.80
  4. Step 4: Simplify right side
    147,647.80x = 16,126,340,195.58
  5. Step 5: Solve for x
    x = 16,126,340,195.58/147,647.80
  6. Step 6: Final answer
    x = 109,221.68

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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.