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Finding the Fourth Proportional to 115,005, 171,800.07 and 83,142.84

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Solution

The fourth proportional to 115,005, 171,800.07 and 83,142.84 is: 124,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,005 : 171,800.07 = 83,142.84 : x
  2. Step 2: Convert to fraction form
    115,005/171,800.07 = 83,142.84/x
  3. Step 3: Cross multiply
    115,005x = 171,800.07 × 83,142.84
  4. Step 4: Simplify right side
    115,005x = 14,283,945,732.00
  5. Step 5: Solve for x
    x = 14,283,945,732.00/115,005
  6. Step 6: Final answer
    x = 124,202.82

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1.5x scale

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.