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Finding the Fourth Proportional to 219,471, 302,869.98 and 118,869

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Solution

The fourth proportional to 219,471, 302,869.98 and 118,869 is: 164,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,471 : 302,869.98 = 118,869 : x
  2. Step 2: Convert to fraction form
    219,471/302,869.98 = 118,869/x
  3. Step 3: Cross multiply
    219,471x = 302,869.98 × 118,869
  4. Step 4: Simplify right side
    219,471x = 36,001,851,652.62
  5. Step 5: Solve for x
    x = 36,001,851,652.62/219,471
  6. Step 6: Final answer
    x = 164,039.22

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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.