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Finding the Fourth Proportional to 221,381.40, 332,238.15 and 157,331.67

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Solution

The fourth proportional to 221,381.40, 332,238.15 and 157,331.67 is: 236,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,381.40 : 332,238.15 = 157,331.67 : x
  2. Step 2: Convert to fraction form
    221,381.40/332,238.15 = 157,331.67/x
  3. Step 3: Cross multiply
    221,381.40x = 332,238.15 × 157,331.67
  4. Step 4: Simplify right side
    221,381.40x = 52,271,582,977.21
  5. Step 5: Solve for x
    x = 52,271,582,977.21/221,381.40
  6. Step 6: Final answer
    x = 236,115.51

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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.