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Finding the Fourth Proportional to 140,129.97, 193,383.47 and 76,471.87

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Solution

The fourth proportional to 140,129.97, 193,383.47 and 76,471.87 is: 105,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,129.97 : 193,383.47 = 76,471.87 : x
  2. Step 2: Convert to fraction form
    140,129.97/193,383.47 = 76,471.87/x
  3. Step 3: Cross multiply
    140,129.97x = 193,383.47 × 76,471.87
  4. Step 4: Simplify right side
    140,129.97x = 14,788,395,577.99
  5. Step 5: Solve for x
    x = 14,788,395,577.99/140,129.97
  6. Step 6: Final answer
    x = 105,533.42

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1.5x scale

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.