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Finding the Fourth Proportional to 208,307, 312,475.08 and 83,648

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Solution

The fourth proportional to 208,307, 312,475.08 and 83,648 is: 125,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,307 : 312,475.08 = 83,648 : x
  2. Step 2: Convert to fraction form
    208,307/312,475.08 = 83,648/x
  3. Step 3: Cross multiply
    208,307x = 312,475.08 × 83,648
  4. Step 4: Simplify right side
    208,307x = 26,137,915,491.84
  5. Step 5: Solve for x
    x = 26,137,915,491.84/208,307
  6. Step 6: Final answer
    x = 125,477.85

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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.