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Finding the Fourth Proportional to 208,762.56, 313,078.32 and 68,488.32

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Solution

The fourth proportional to 208,762.56, 313,078.32 and 68,488.32 is: 102,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,762.56 : 313,078.32 = 68,488.32 : x
  2. Step 2: Convert to fraction form
    208,762.56/313,078.32 = 68,488.32/x
  3. Step 3: Cross multiply
    208,762.56x = 313,078.32 × 68,488.32
  4. Step 4: Simplify right side
    208,762.56x = 21,442,208,165.22
  5. Step 5: Solve for x
    x = 21,442,208,165.22/208,762.56
  6. Step 6: Final answer
    x = 102,710.98

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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.