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Finding the Fourth Proportional to 133,044.80, 199,298.40 and 82,971.20

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Solution

The fourth proportional to 133,044.80, 199,298.40 and 82,971.20 is: 124,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044.80 : 199,298.40 = 82,971.20 : x
  2. Step 2: Convert to fraction form
    133,044.80/199,298.40 = 82,971.20/x
  3. Step 3: Cross multiply
    133,044.80x = 199,298.40 × 82,971.20
  4. Step 4: Simplify right side
    133,044.80x = 16,536,027,406.08
  5. Step 5: Solve for x
    x = 16,536,027,406.08/133,044.80
  6. Step 6: Final answer
    x = 124,289.17

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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.