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Finding the Fourth Proportional to 219,114, 302,377.35 and 118,512

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Solution

The fourth proportional to 219,114, 302,377.35 and 118,512 is: 163,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,114 : 302,377.35 = 118,512 : x
  2. Step 2: Convert to fraction form
    219,114/302,377.35 = 118,512/x
  3. Step 3: Cross multiply
    219,114x = 302,377.35 × 118,512
  4. Step 4: Simplify right side
    219,114x = 35,835,344,503.20
  5. Step 5: Solve for x
    x = 35,835,344,503.20/219,114
  6. Step 6: Final answer
    x = 163,546.58

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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.