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Finding the Fourth Proportional to 155,097.88, 214,035.12 and 87,114.96

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Solution

The fourth proportional to 155,097.88, 214,035.12 and 87,114.96 is: 120,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,097.88 : 214,035.12 = 87,114.96 : x
  2. Step 2: Convert to fraction form
    155,097.88/214,035.12 = 87,114.96/x
  3. Step 3: Cross multiply
    155,097.88x = 214,035.12 × 87,114.96
  4. Step 4: Simplify right side
    155,097.88x = 18,645,660,917.40
  5. Step 5: Solve for x
    x = 18,645,660,917.40/155,097.88
  6. Step 6: Final answer
    x = 120,218.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.