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Finding the Fourth Proportional to 137,024.36, 189,124.12 and 83,298

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Solution

The fourth proportional to 137,024.36, 189,124.12 and 83,298 is: 114,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,024.36 : 189,124.12 = 83,298 : x
  2. Step 2: Convert to fraction form
    137,024.36/189,124.12 = 83,298/x
  3. Step 3: Cross multiply
    137,024.36x = 189,124.12 × 83,298
  4. Step 4: Simplify right side
    137,024.36x = 15,753,660,947.76
  5. Step 5: Solve for x
    x = 15,753,660,947.76/137,024.36
  6. Step 6: Final answer
    x = 114,969.78

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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.