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Finding the Fourth Proportional to 147,969, 221,982.66 and 48,122.76

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Solution

The fourth proportional to 147,969, 221,982.66 and 48,122.76 is: 72,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,969 : 221,982.66 = 48,122.76 : x
  2. Step 2: Convert to fraction form
    147,969/221,982.66 = 48,122.76/x
  3. Step 3: Cross multiply
    147,969x = 221,982.66 × 48,122.76
  4. Step 4: Simplify right side
    147,969x = 10,682,418,271.34
  5. Step 5: Solve for x
    x = 10,682,418,271.34/147,969
  6. Step 6: Final answer
    x = 72,193.62

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1.5x scale

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.