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Finding the Fourth Proportional to 135,492.35, 186,968.46 and 75,065.54

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Solution

The fourth proportional to 135,492.35, 186,968.46 and 75,065.54 is: 103,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,492.35 : 186,968.46 = 75,065.54 : x
  2. Step 2: Convert to fraction form
    135,492.35/186,968.46 = 75,065.54/x
  3. Step 3: Cross multiply
    135,492.35x = 186,968.46 × 75,065.54
  4. Step 4: Simplify right side
    135,492.35x = 14,034,888,412.87
  5. Step 5: Solve for x
    x = 14,034,888,412.87/135,492.35
  6. Step 6: Final answer
    x = 103,584.36

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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.