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Finding the Fourth Proportional to 137,028.36, 189,129.64 and 83,302

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Solution

The fourth proportional to 137,028.36, 189,129.64 and 83,302 is: 114,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,028.36 : 189,129.64 = 83,302 : x
  2. Step 2: Convert to fraction form
    137,028.36/189,129.64 = 83,302/x
  3. Step 3: Cross multiply
    137,028.36x = 189,129.64 × 83,302
  4. Step 4: Simplify right side
    137,028.36x = 15,754,877,271.28
  5. Step 5: Solve for x
    x = 15,754,877,271.28/137,028.36
  6. Step 6: Final answer
    x = 114,975.30

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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.