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Finding the Fourth Proportional to 156,390.78, 215,819.73 and 84,771.08

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Solution

The fourth proportional to 156,390.78, 215,819.73 and 84,771.08 is: 116,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,390.78 : 215,819.73 = 84,771.08 : x
  2. Step 2: Convert to fraction form
    156,390.78/215,819.73 = 84,771.08/x
  3. Step 3: Cross multiply
    156,390.78x = 215,819.73 × 84,771.08
  4. Step 4: Simplify right side
    156,390.78x = 18,295,271,597.41
  5. Step 5: Solve for x
    x = 18,295,271,597.41/156,390.78
  6. Step 6: Final answer
    x = 116,984.34

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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.