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Finding the Fourth Proportional to 142,720.72, 214,019.04 and 76,146

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Solution

The fourth proportional to 142,720.72, 214,019.04 and 76,146 is: 114,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,720.72 : 214,019.04 = 76,146 : x
  2. Step 2: Convert to fraction form
    142,720.72/214,019.04 = 76,146/x
  3. Step 3: Cross multiply
    142,720.72x = 214,019.04 × 76,146
  4. Step 4: Simplify right side
    142,720.72x = 16,296,693,819.84
  5. Step 5: Solve for x
    x = 16,296,693,819.84/142,720.72
  6. Step 6: Final answer
    x = 114,185.90

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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.