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Finding the Fourth Proportional to 159,840.64, 220,485.12 and 103,285.44

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Solution

The fourth proportional to 159,840.64, 220,485.12 and 103,285.44 is: 142,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,840.64 : 220,485.12 = 103,285.44 : x
  2. Step 2: Convert to fraction form
    159,840.64/220,485.12 = 103,285.44/x
  3. Step 3: Cross multiply
    159,840.64x = 220,485.12 × 103,285.44
  4. Step 4: Simplify right side
    159,840.64x = 22,772,902,632.65
  5. Step 5: Solve for x
    x = 22,772,902,632.65/159,840.64
  6. Step 6: Final answer
    x = 142,472.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.