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Finding the Fourth Proportional to 140,383.40, 193,728.06 and 76,719.80

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Solution

The fourth proportional to 140,383.40, 193,728.06 and 76,719.80 is: 105,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,383.40 : 193,728.06 = 76,719.80 : x
  2. Step 2: Convert to fraction form
    140,383.40/193,728.06 = 76,719.80/x
  3. Step 3: Cross multiply
    140,383.40x = 193,728.06 × 76,719.80
  4. Step 4: Simplify right side
    140,383.40x = 14,862,778,017.59
  5. Step 5: Solve for x
    x = 14,862,778,017.59/140,383.40
  6. Step 6: Final answer
    x = 105,872.76

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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.