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Finding the Fourth Proportional to 210,027.32, 289,838.16 and 119,383.84

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Solution

The fourth proportional to 210,027.32, 289,838.16 and 119,383.84 is: 164,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,027.32 : 289,838.16 = 119,383.84 : x
  2. Step 2: Convert to fraction form
    210,027.32/289,838.16 = 119,383.84/x
  3. Step 3: Cross multiply
    210,027.32x = 289,838.16 × 119,383.84
  4. Step 4: Simplify right side
    210,027.32x = 34,601,992,519.33
  5. Step 5: Solve for x
    x = 34,601,992,519.33/210,027.32
  6. Step 6: Final answer
    x = 164,749.96

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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.