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Finding the Fourth Proportional to 135,766.80, 187,364.56 and 84,809.68

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Solution

The fourth proportional to 135,766.80, 187,364.56 and 84,809.68 is: 117,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,766.80 : 187,364.56 = 84,809.68 : x
  2. Step 2: Convert to fraction form
    135,766.80/187,364.56 = 84,809.68/x
  3. Step 3: Cross multiply
    135,766.80x = 187,364.56 × 84,809.68
  4. Step 4: Simplify right side
    135,766.80x = 15,890,328,376.94
  5. Step 5: Solve for x
    x = 15,890,328,376.94/135,766.80
  6. Step 6: Final answer
    x = 117,041.34

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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.