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Finding the Fourth Proportional to 208,488.54, 313,078.76 and 130,100.98

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Solution

The fourth proportional to 208,488.54, 313,078.76 and 130,100.98 is: 195,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,488.54 : 313,078.76 = 130,100.98 : x
  2. Step 2: Convert to fraction form
    208,488.54/313,078.76 = 130,100.98/x
  3. Step 3: Cross multiply
    208,488.54x = 313,078.76 × 130,100.98
  4. Step 4: Simplify right side
    208,488.54x = 40,731,853,493.18
  5. Step 5: Solve for x
    x = 40,731,853,493.18/208,488.54
  6. Step 6: Final answer
    x = 195,367.35

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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.