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Finding the Fourth Proportional to 208,002.70, 312,004.05 and 83,433.10

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Solution

The fourth proportional to 208,002.70, 312,004.05 and 83,433.10 is: 125,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,002.70 : 312,004.05 = 83,433.10 : x
  2. Step 2: Convert to fraction form
    208,002.70/312,004.05 = 83,433.10/x
  3. Step 3: Cross multiply
    208,002.70x = 312,004.05 × 83,433.10
  4. Step 4: Simplify right side
    208,002.70x = 26,031,465,104.06
  5. Step 5: Solve for x
    x = 26,031,465,104.06/208,002.70
  6. Step 6: Final answer
    x = 125,149.65

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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.