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Finding the Fourth Proportional to 219,240, 302,551.47 and 118,638

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Solution

The fourth proportional to 219,240, 302,551.47 and 118,638 is: 163,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,240 : 302,551.47 = 118,638 : x
  2. Step 2: Convert to fraction form
    219,240/302,551.47 = 118,638/x
  3. Step 3: Cross multiply
    219,240x = 302,551.47 × 118,638
  4. Step 4: Simplify right side
    219,240x = 35,894,101,297.86
  5. Step 5: Solve for x
    x = 35,894,101,297.86/219,240
  6. Step 6: Final answer
    x = 163,720.59

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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.