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Finding the Fourth Proportional to 164,640.60, 247,076.10 and 71,213.40

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Solution

The fourth proportional to 164,640.60, 247,076.10 and 71,213.40 is: 106,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,640.60 : 247,076.10 = 71,213.40 : x
  2. Step 2: Convert to fraction form
    164,640.60/247,076.10 = 71,213.40/x
  3. Step 3: Cross multiply
    164,640.60x = 247,076.10 × 71,213.40
  4. Step 4: Simplify right side
    164,640.60x = 17,595,129,139.74
  5. Step 5: Solve for x
    x = 17,595,129,139.74/164,640.60
  6. Step 6: Final answer
    x = 106,869.93

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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.