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Finding the Fourth Proportional to 221,050.76, 305,050.10 and 120,448.76

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Solution

The fourth proportional to 221,050.76, 305,050.10 and 120,448.76 is: 166,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,050.76 : 305,050.10 = 120,448.76 : x
  2. Step 2: Convert to fraction form
    221,050.76/305,050.10 = 120,448.76/x
  3. Step 3: Cross multiply
    221,050.76x = 305,050.10 × 120,448.76
  4. Step 4: Simplify right side
    221,050.76x = 36,742,906,282.88
  5. Step 5: Solve for x
    x = 36,742,906,282.88/221,050.76
  6. Step 6: Final answer
    x = 166,219.32

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1.5x scale

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.