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Finding the Fourth Proportional to 221,288, 305,377.44 and 120,686.72

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Solution

The fourth proportional to 221,288, 305,377.44 and 120,686.72 is: 166,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,288 : 305,377.44 = 120,686.72 : x
  2. Step 2: Convert to fraction form
    221,288/305,377.44 = 120,686.72/x
  3. Step 3: Cross multiply
    221,288x = 305,377.44 × 120,686.72
  4. Step 4: Simplify right side
    221,288x = 36,855,001,595.60
  5. Step 5: Solve for x
    x = 36,855,001,595.60/221,288
  6. Step 6: Final answer
    x = 166,547.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.