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Finding the Fourth Proportional to 135,087.84, 186,380.46 and 78,488.28

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Solution

The fourth proportional to 135,087.84, 186,380.46 and 78,488.28 is: 108,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,087.84 : 186,380.46 = 78,488.28 : x
  2. Step 2: Convert to fraction form
    135,087.84/186,380.46 = 78,488.28/x
  3. Step 3: Cross multiply
    135,087.84x = 186,380.46 × 78,488.28
  4. Step 4: Simplify right side
    135,087.84x = 14,628,681,731.01
  5. Step 5: Solve for x
    x = 14,628,681,731.01/135,087.84
  6. Step 6: Final answer
    x = 108,290.14

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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.