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Finding the Fourth Proportional to 162,170.25, 243,193.41 and 77,906.40

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Solution

The fourth proportional to 162,170.25, 243,193.41 and 77,906.40 is: 116,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,170.25 : 243,193.41 = 77,906.40 : x
  2. Step 2: Convert to fraction form
    162,170.25/243,193.41 = 77,906.40/x
  3. Step 3: Cross multiply
    162,170.25x = 243,193.41 × 77,906.40
  4. Step 4: Simplify right side
    162,170.25x = 18,946,323,076.82
  5. Step 5: Solve for x
    x = 18,946,323,076.82/162,170.25
  6. Step 6: Final answer
    x = 116,829.83

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1.5x scale

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.