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Finding the Fourth Proportional to 213,522.60, 320,138.10 and 101,256.60

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Solution

The fourth proportional to 213,522.60, 320,138.10 and 101,256.60 is: 151,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,522.60 : 320,138.10 = 101,256.60 : x
  2. Step 2: Convert to fraction form
    213,522.60/320,138.10 = 101,256.60/x
  3. Step 3: Cross multiply
    213,522.60x = 320,138.10 × 101,256.60
  4. Step 4: Simplify right side
    213,522.60x = 32,416,095,536.46
  5. Step 5: Solve for x
    x = 32,416,095,536.46/213,522.60
  6. Step 6: Final answer
    x = 151,815.76

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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.