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Finding the Fourth Proportional to 219,471.36, 302,871.12 and 118,869.36

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Solution

The fourth proportional to 219,471.36, 302,871.12 and 118,869.36 is: 164,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,471.36 : 302,871.12 = 118,869.36 : x
  2. Step 2: Convert to fraction form
    219,471.36/302,871.12 = 118,869.36/x
  3. Step 3: Cross multiply
    219,471.36x = 302,871.12 × 118,869.36
  4. Step 4: Simplify right side
    219,471.36x = 36,002,096,196.88
  5. Step 5: Solve for x
    x = 36,002,096,196.88/219,471.36
  6. Step 6: Final answer
    x = 164,040.07

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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.