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Finding the Fourth Proportional to 208,258.94, 312,178.06 and 81,987.78

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Solution

The fourth proportional to 208,258.94, 312,178.06 and 81,987.78 is: 122,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,258.94 : 312,178.06 = 81,987.78 : x
  2. Step 2: Convert to fraction form
    208,258.94/312,178.06 = 81,987.78/x
  3. Step 3: Cross multiply
    208,258.94x = 312,178.06 × 81,987.78
  4. Step 4: Simplify right side
    208,258.94x = 25,594,787,053.55
  5. Step 5: Solve for x
    x = 25,594,787,053.55/208,258.94
  6. Step 6: Final answer
    x = 122,898.87

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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.