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Finding the Fourth Proportional to 126,120, 174,046.78 and 69,533.40

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Solution

The fourth proportional to 126,120, 174,046.78 and 69,533.40 is: 95,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,120 : 174,046.78 = 69,533.40 : x
  2. Step 2: Convert to fraction form
    126,120/174,046.78 = 69,533.40/x
  3. Step 3: Cross multiply
    126,120x = 174,046.78 × 69,533.40
  4. Step 4: Simplify right side
    126,120x = 12,102,064,372.45
  5. Step 5: Solve for x
    x = 12,102,064,372.45/126,120
  6. Step 6: Final answer
    x = 95,956.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.