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Finding the Fourth Proportional to 145,084.57, 217,664.62 and 55,129.01

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Solution

The fourth proportional to 145,084.57, 217,664.62 and 55,129.01 is: 82,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,084.57 : 217,664.62 = 55,129.01 : x
  2. Step 2: Convert to fraction form
    145,084.57/217,664.62 = 55,129.01/x
  3. Step 3: Cross multiply
    145,084.57x = 217,664.62 × 55,129.01
  4. Step 4: Simplify right side
    145,084.57x = 11,999,633,786.48
  5. Step 5: Solve for x
    x = 11,999,633,786.48/145,084.57
  6. Step 6: Final answer
    x = 82,707.86

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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.