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Finding the Fourth Proportional to 126,390.96, 189,309.96 and 77,039.28

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Solution

The fourth proportional to 126,390.96, 189,309.96 and 77,039.28 is: 115,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,390.96 : 189,309.96 = 77,039.28 : x
  2. Step 2: Convert to fraction form
    126,390.96/189,309.96 = 77,039.28/x
  3. Step 3: Cross multiply
    126,390.96x = 189,309.96 × 77,039.28
  4. Step 4: Simplify right side
    126,390.96x = 14,584,303,015.23
  5. Step 5: Solve for x
    x = 14,584,303,015.23/126,390.96
  6. Step 6: Final answer
    x = 115,390.40

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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.