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Finding the Fourth Proportional to 105,129.40, 157,694.10 and 81,628.60

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Solution

The fourth proportional to 105,129.40, 157,694.10 and 81,628.60 is: 122,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,129.40 : 157,694.10 = 81,628.60 : x
  2. Step 2: Convert to fraction form
    105,129.40/157,694.10 = 81,628.60/x
  3. Step 3: Cross multiply
    105,129.40x = 157,694.10 × 81,628.60
  4. Step 4: Simplify right side
    105,129.40x = 12,872,348,611.26
  5. Step 5: Solve for x
    x = 12,872,348,611.26/105,129.40
  6. Step 6: Final answer
    x = 122,442.90

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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.