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Finding the Fourth Proportional to 136,871.96, 188,774.88 and 83,155.46

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Solution

The fourth proportional to 136,871.96, 188,774.88 and 83,155.46 is: 114,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,871.96 : 188,774.88 = 83,155.46 : x
  2. Step 2: Convert to fraction form
    136,871.96/188,774.88 = 83,155.46/x
  3. Step 3: Cross multiply
    136,871.96x = 188,774.88 × 83,155.46
  4. Step 4: Simplify right side
    136,871.96x = 15,697,661,982.84
  5. Step 5: Solve for x
    x = 15,697,661,982.84/136,871.96
  6. Step 6: Final answer
    x = 114,688.66

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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.