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Finding the Fourth Proportional to 219,095.43, 302,536.02 and 138,664.86

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Solution

The fourth proportional to 219,095.43, 302,536.02 and 138,664.86 is: 191,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,095.43 : 302,536.02 = 138,664.86 : x
  2. Step 2: Convert to fraction form
    219,095.43/302,536.02 = 138,664.86/x
  3. Step 3: Cross multiply
    219,095.43x = 302,536.02 × 138,664.86
  4. Step 4: Simplify right side
    219,095.43x = 41,951,114,858.26
  5. Step 5: Solve for x
    x = 41,951,114,858.26/219,095.43
  6. Step 6: Final answer
    x = 191,474.17

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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.