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Finding the Fourth Proportional to 142,912.60, 214,304.10 and 54,136.60

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Solution

The fourth proportional to 142,912.60, 214,304.10 and 54,136.60 is: 81,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,912.60 : 214,304.10 = 54,136.60 : x
  2. Step 2: Convert to fraction form
    142,912.60/214,304.10 = 54,136.60/x
  3. Step 3: Cross multiply
    142,912.60x = 214,304.10 × 54,136.60
  4. Step 4: Simplify right side
    142,912.60x = 11,601,695,340.06
  5. Step 5: Solve for x
    x = 11,601,695,340.06/142,912.60
  6. Step 6: Final answer
    x = 81,180.35

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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.