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Finding the Fourth Proportional to 115,006, 171,801.56 and 83,143.84

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Solution

The fourth proportional to 115,006, 171,801.56 and 83,143.84 is: 124,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,006 : 171,801.56 = 83,143.84 : x
  2. Step 2: Convert to fraction form
    115,006/171,801.56 = 83,143.84/x
  3. Step 3: Cross multiply
    115,006x = 171,801.56 × 83,143.84
  4. Step 4: Simplify right side
    115,006x = 14,284,241,416.39
  5. Step 5: Solve for x
    x = 14,284,241,416.39/115,006
  6. Step 6: Final answer
    x = 124,204.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.