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Finding the Fourth Proportional to 205,644.60, 308,525.94 and 85,678.20

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Solution

The fourth proportional to 205,644.60, 308,525.94 and 85,678.20 is: 128,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,644.60 : 308,525.94 = 85,678.20 : x
  2. Step 2: Convert to fraction form
    205,644.60/308,525.94 = 85,678.20/x
  3. Step 3: Cross multiply
    205,644.60x = 308,525.94 × 85,678.20
  4. Step 4: Simplify right side
    205,644.60x = 26,433,947,192.51
  5. Step 5: Solve for x
    x = 26,433,947,192.51/205,644.60
  6. Step 6: Final answer
    x = 128,541.90

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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.