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Finding the Fourth Proportional to 128,813.64, 177,726.46 and 83,493.52

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Solution

The fourth proportional to 128,813.64, 177,726.46 and 83,493.52 is: 115,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,813.64 : 177,726.46 = 83,493.52 : x
  2. Step 2: Convert to fraction form
    128,813.64/177,726.46 = 83,493.52/x
  3. Step 3: Cross multiply
    128,813.64x = 177,726.46 × 83,493.52
  4. Step 4: Simplify right side
    128,813.64x = 14,839,007,742.54
  5. Step 5: Solve for x
    x = 14,839,007,742.54/128,813.64
  6. Step 6: Final answer
    x = 115,197.49

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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.