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Finding the Fourth Proportional to 219,536.31, 302,960.42 and 118,934.31

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Solution

The fourth proportional to 219,536.31, 302,960.42 and 118,934.31 is: 164,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,536.31 : 302,960.42 = 118,934.31 : x
  2. Step 2: Convert to fraction form
    219,536.31/302,960.42 = 118,934.31/x
  3. Step 3: Cross multiply
    219,536.31x = 302,960.42 × 118,934.31
  4. Step 4: Simplify right side
    219,536.31x = 36,032,388,510.01
  5. Step 5: Solve for x
    x = 36,032,388,510.01/219,536.31
  6. Step 6: Final answer
    x = 164,129.52

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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.