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Finding the Fourth Proportional to 135,655.68, 186,989.10 and 106,928.76

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Solution

The fourth proportional to 135,655.68, 186,989.10 and 106,928.76 is: 147,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,655.68 : 186,989.10 = 106,928.76 : x
  2. Step 2: Convert to fraction form
    135,655.68/186,989.10 = 106,928.76/x
  3. Step 3: Cross multiply
    135,655.68x = 186,989.10 × 106,928.76
  4. Step 4: Simplify right side
    135,655.68x = 19,994,512,596.52
  5. Step 5: Solve for x
    x = 19,994,512,596.52/135,655.68
  6. Step 6: Final answer
    x = 147,391.64

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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.