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Finding the Fourth Proportional to 126,176, 189,264 and 70,776.32

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Solution

The fourth proportional to 126,176, 189,264 and 70,776.32 is: 106,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,176 : 189,264 = 70,776.32 : x
  2. Step 2: Convert to fraction form
    126,176/189,264 = 70,776.32/x
  3. Step 3: Cross multiply
    126,176x = 189,264 × 70,776.32
  4. Step 4: Simplify right side
    126,176x = 13,395,409,428.48
  5. Step 5: Solve for x
    x = 13,395,409,428.48/126,176
  6. Step 6: Final answer
    x = 106,164.48

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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.