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Finding the Fourth Proportional to 82,972.60, 124,383.30 and 30,369.40

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Solution

The fourth proportional to 82,972.60, 124,383.30 and 30,369.40 is: 45,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,972.60 : 124,383.30 = 30,369.40 : x
  2. Step 2: Convert to fraction form
    82,972.60/124,383.30 = 30,369.40/x
  3. Step 3: Cross multiply
    82,972.60x = 124,383.30 × 30,369.40
  4. Step 4: Simplify right side
    82,972.60x = 3,777,446,191.02
  5. Step 5: Solve for x
    x = 3,777,446,191.02/82,972.60
  6. Step 6: Final answer
    x = 45,526.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.