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Finding the Fourth Proportional to 135,057, 186,378.66 and 75,441

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Solution

The fourth proportional to 135,057, 186,378.66 and 75,441 is: 104,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,057 : 186,378.66 = 75,441 : x
  2. Step 2: Convert to fraction form
    135,057/186,378.66 = 75,441/x
  3. Step 3: Cross multiply
    135,057x = 186,378.66 × 75,441
  4. Step 4: Simplify right side
    135,057x = 14,060,592,489.06
  5. Step 5: Solve for x
    x = 14,060,592,489.06/135,057
  6. Step 6: Final answer
    x = 104,108.58

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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.