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Finding the Fourth Proportional to 151,309, 208,806.42 and 84,256.84

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Solution

The fourth proportional to 151,309, 208,806.42 and 84,256.84 is: 116,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,309 : 208,806.42 = 84,256.84 : x
  2. Step 2: Convert to fraction form
    151,309/208,806.42 = 84,256.84/x
  3. Step 3: Cross multiply
    151,309x = 208,806.42 × 84,256.84
  4. Step 4: Simplify right side
    151,309x = 17,593,369,120.91
  5. Step 5: Solve for x
    x = 17,593,369,120.91/151,309
  6. Step 6: Final answer
    x = 116,274.44

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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.