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Finding the Fourth Proportional to 208,415, 312,414.60 and 81,976.16

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Solution

The fourth proportional to 208,415, 312,414.60 and 81,976.16 is: 122,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,415 : 312,414.60 = 81,976.16 : x
  2. Step 2: Convert to fraction form
    208,415/312,414.60 = 81,976.16/x
  3. Step 3: Cross multiply
    208,415x = 312,414.60 × 81,976.16
  4. Step 4: Simplify right side
    208,415x = 25,610,549,235.94
  5. Step 5: Solve for x
    x = 25,610,549,235.94/208,415
  6. Step 6: Final answer
    x = 122,882.47

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1.5x scale

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.