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Finding the Fourth Proportional to 219,471.28, 302,871.72 and 118,869.28

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Solution

The fourth proportional to 219,471.28, 302,871.72 and 118,869.28 is: 164,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,471.28 : 302,871.72 = 118,869.28 : x
  2. Step 2: Convert to fraction form
    219,471.28/302,871.72 = 118,869.28/x
  3. Step 3: Cross multiply
    219,471.28x = 302,871.72 × 118,869.28
  4. Step 4: Simplify right side
    219,471.28x = 36,002,143,288.76
  5. Step 5: Solve for x
    x = 36,002,143,288.76/219,471.28
  6. Step 6: Final answer
    x = 164,040.34

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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.