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Finding the Fourth Proportional to 128,364.64, 192,538.32 and 45,247.84

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Solution

The fourth proportional to 128,364.64, 192,538.32 and 45,247.84 is: 67,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,364.64 : 192,538.32 = 45,247.84 : x
  2. Step 2: Convert to fraction form
    128,364.64/192,538.32 = 45,247.84/x
  3. Step 3: Cross multiply
    128,364.64x = 192,538.32 × 45,247.84
  4. Step 4: Simplify right side
    128,364.64x = 8,711,943,097.23
  5. Step 5: Solve for x
    x = 8,711,943,097.23/128,364.64
  6. Step 6: Final answer
    x = 67,868.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.