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Finding the Fourth Proportional to 219,461.38, 302,857.30 and 118,859.38

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Solution

The fourth proportional to 219,461.38, 302,857.30 and 118,859.38 is: 164,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,461.38 : 302,857.30 = 118,859.38 : x
  2. Step 2: Convert to fraction form
    219,461.38/302,857.30 = 118,859.38/x
  3. Step 3: Cross multiply
    219,461.38x = 302,857.30 × 118,859.38
  4. Step 4: Simplify right side
    219,461.38x = 35,997,430,906.47
  5. Step 5: Solve for x
    x = 35,997,430,906.47/219,461.38
  6. Step 6: Final answer
    x = 164,026.27

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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.