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Finding the Fourth Proportional to 114,589, 158,133.36 and 64,288

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Solution

The fourth proportional to 114,589, 158,133.36 and 64,288 is: 88,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,589 : 158,133.36 = 64,288 : x
  2. Step 2: Convert to fraction form
    114,589/158,133.36 = 64,288/x
  3. Step 3: Cross multiply
    114,589x = 158,133.36 × 64,288
  4. Step 4: Simplify right side
    114,589x = 10,166,077,447.68
  5. Step 5: Solve for x
    x = 10,166,077,447.68/114,589
  6. Step 6: Final answer
    x = 88,717.74

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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.