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Finding the Fourth Proportional to 142,706.10, 214,102.34 and 53,986.80

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Solution

The fourth proportional to 142,706.10, 214,102.34 and 53,986.80 is: 80,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,706.10 : 214,102.34 = 53,986.80 : x
  2. Step 2: Convert to fraction form
    142,706.10/214,102.34 = 53,986.80/x
  3. Step 3: Cross multiply
    142,706.10x = 214,102.34 × 53,986.80
  4. Step 4: Simplify right side
    142,706.10x = 11,558,700,209.11
  5. Step 5: Solve for x
    x = 11,558,700,209.11/142,706.10
  6. Step 6: Final answer
    x = 80,996.54

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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.