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Finding the Fourth Proportional to 159,817.60, 239,812.80 and 71,084.80

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Solution

The fourth proportional to 159,817.60, 239,812.80 and 71,084.80 is: 106,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,817.60 : 239,812.80 = 71,084.80 : x
  2. Step 2: Convert to fraction form
    159,817.60/239,812.80 = 71,084.80/x
  3. Step 3: Cross multiply
    159,817.60x = 239,812.80 × 71,084.80
  4. Step 4: Simplify right side
    159,817.60x = 17,047,044,925.44
  5. Step 5: Solve for x
    x = 17,047,044,925.44/159,817.60
  6. Step 6: Final answer
    x = 106,665.63

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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.