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Finding the Fourth Proportional to 208,706.16, 312,819.24 and 90,258.48

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Solution

The fourth proportional to 208,706.16, 312,819.24 and 90,258.48 is: 135,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,706.16 : 312,819.24 = 90,258.48 : x
  2. Step 2: Convert to fraction form
    208,706.16/312,819.24 = 90,258.48/x
  3. Step 3: Cross multiply
    208,706.16x = 312,819.24 × 90,258.48
  4. Step 4: Simplify right side
    208,706.16x = 28,234,589,117.16
  5. Step 5: Solve for x
    x = 28,234,589,117.16/208,706.16
  6. Step 6: Final answer
    x = 135,283.93

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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.