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Finding the Fourth Proportional to 142,650.70, 214,129.65 and 80,442.70

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Solution

The fourth proportional to 142,650.70, 214,129.65 and 80,442.70 is: 120,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,650.70 : 214,129.65 = 80,442.70 : x
  2. Step 2: Convert to fraction form
    142,650.70/214,129.65 = 80,442.70/x
  3. Step 3: Cross multiply
    142,650.70x = 214,129.65 × 80,442.70
  4. Step 4: Simplify right side
    142,650.70x = 17,225,167,196.06
  5. Step 5: Solve for x
    x = 17,225,167,196.06/142,650.70
  6. Step 6: Final answer
    x = 120,750.67

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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.