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Finding the Fourth Proportional to 135,465.62, 186,942.75 and 81,053.06

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Solution

The fourth proportional to 135,465.62, 186,942.75 and 81,053.06 is: 111,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,465.62 : 186,942.75 = 81,053.06 : x
  2. Step 2: Convert to fraction form
    135,465.62/186,942.75 = 81,053.06/x
  3. Step 3: Cross multiply
    135,465.62x = 186,942.75 × 81,053.06
  4. Step 4: Simplify right side
    135,465.62x = 15,152,281,932.32
  5. Step 5: Solve for x
    x = 15,152,281,932.32/135,465.62
  6. Step 6: Final answer
    x = 111,853.34

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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.