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Finding the Fourth Proportional to 137,563.74, 189,871.70 and 83,878.34

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Solution

The fourth proportional to 137,563.74, 189,871.70 and 83,878.34 is: 115,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,563.74 : 189,871.70 = 83,878.34 : x
  2. Step 2: Convert to fraction form
    137,563.74/189,871.70 = 83,878.34/x
  3. Step 3: Cross multiply
    137,563.74x = 189,871.70 × 83,878.34
  4. Step 4: Simplify right side
    137,563.74x = 15,926,121,640.23
  5. Step 5: Solve for x
    x = 15,926,121,640.23/137,563.74
  6. Step 6: Final answer
    x = 115,772.67

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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.