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Finding the Fourth Proportional to 143,158, 214,735.64 and 87,013.60

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Solution

The fourth proportional to 143,158, 214,735.64 and 87,013.60 is: 130,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,158 : 214,735.64 = 87,013.60 : x
  2. Step 2: Convert to fraction form
    143,158/214,735.64 = 87,013.60/x
  3. Step 3: Cross multiply
    143,158x = 214,735.64 × 87,013.60
  4. Step 4: Simplify right side
    143,158x = 18,684,921,084.70
  5. Step 5: Solve for x
    x = 18,684,921,084.70/143,158
  6. Step 6: Final answer
    x = 130,519.57

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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.