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Finding the Fourth Proportional to 135,169.84, 186,526.85 and 74,736.86

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Solution

The fourth proportional to 135,169.84, 186,526.85 and 74,736.86 is: 103,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,169.84 : 186,526.85 = 74,736.86 : x
  2. Step 2: Convert to fraction form
    135,169.84/186,526.85 = 74,736.86/x
  3. Step 3: Cross multiply
    135,169.84x = 186,526.85 × 74,736.86
  4. Step 4: Simplify right side
    135,169.84x = 13,940,430,328.90
  5. Step 5: Solve for x
    x = 13,940,430,328.90/135,169.84
  6. Step 6: Final answer
    x = 103,132.70

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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.