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Finding the Fourth Proportional to 205,662.10, 308,461.98 and 70,746.70

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Solution

The fourth proportional to 205,662.10, 308,461.98 and 70,746.70 is: 106,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,662.10 : 308,461.98 = 70,746.70 : x
  2. Step 2: Convert to fraction form
    205,662.10/308,461.98 = 70,746.70/x
  3. Step 3: Cross multiply
    205,662.10x = 308,461.98 × 70,746.70
  4. Step 4: Simplify right side
    205,662.10x = 21,822,667,160.47
  5. Step 5: Solve for x
    x = 21,822,667,160.47/205,662.10
  6. Step 6: Final answer
    x = 106,109.33

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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.