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Finding the Fourth Proportional to 126,112.60, 189,168.90 and 105,837.40

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Solution

The fourth proportional to 126,112.60, 189,168.90 and 105,837.40 is: 158,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,112.60 : 189,168.90 = 105,837.40 : x
  2. Step 2: Convert to fraction form
    126,112.60/189,168.90 = 105,837.40/x
  3. Step 3: Cross multiply
    126,112.60x = 189,168.90 × 105,837.40
  4. Step 4: Simplify right side
    126,112.60x = 20,021,144,536.86
  5. Step 5: Solve for x
    x = 20,021,144,536.86/126,112.60
  6. Step 6: Final answer
    x = 158,756.10

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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.