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Finding the Fourth Proportional to 126,116.60, 189,174.90 and 105,841.40

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Solution

The fourth proportional to 126,116.60, 189,174.90 and 105,841.40 is: 158,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,116.60 : 189,174.90 = 105,841.40 : x
  2. Step 2: Convert to fraction form
    126,116.60/189,174.90 = 105,841.40/x
  3. Step 3: Cross multiply
    126,116.60x = 189,174.90 × 105,841.40
  4. Step 4: Simplify right side
    126,116.60x = 20,022,536,260.86
  5. Step 5: Solve for x
    x = 20,022,536,260.86/126,116.60
  6. Step 6: Final answer
    x = 158,762.10

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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.