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Finding the Fourth Proportional to 128,093.80, 176,746.16 and 89,969.84

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Solution

The fourth proportional to 128,093.80, 176,746.16 and 89,969.84 is: 124,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,093.80 : 176,746.16 = 89,969.84 : x
  2. Step 2: Convert to fraction form
    128,093.80/176,746.16 = 89,969.84/x
  3. Step 3: Cross multiply
    128,093.80x = 176,746.16 × 89,969.84
  4. Step 4: Simplify right side
    128,093.80x = 15,901,823,735.81
  5. Step 5: Solve for x
    x = 15,901,823,735.81/128,093.80
  6. Step 6: Final answer
    x = 124,142.03

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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.