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Finding the Fourth Proportional to 91,097.84, 137,340.46 and 84,676.28

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Solution

The fourth proportional to 91,097.84, 137,340.46 and 84,676.28 is: 127,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,097.84 : 137,340.46 = 84,676.28 : x
  2. Step 2: Convert to fraction form
    91,097.84/137,340.46 = 84,676.28/x
  3. Step 3: Cross multiply
    91,097.84x = 137,340.46 × 84,676.28
  4. Step 4: Simplify right side
    91,097.84x = 11,629,479,246.29
  5. Step 5: Solve for x
    x = 11,629,479,246.29/91,097.84
  6. Step 6: Final answer
    x = 127,659.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.