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Finding the Fourth Proportional to 137,636.28, 189,959.34 and 77,231.34

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Solution

The fourth proportional to 137,636.28, 189,959.34 and 77,231.34 is: 106,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,636.28 : 189,959.34 = 77,231.34 : x
  2. Step 2: Convert to fraction form
    137,636.28/189,959.34 = 77,231.34/x
  3. Step 3: Cross multiply
    137,636.28x = 189,959.34 × 77,231.34
  4. Step 4: Simplify right side
    137,636.28x = 14,670,814,373.72
  5. Step 5: Solve for x
    x = 14,670,814,373.72/137,636.28
  6. Step 6: Final answer
    x = 106,591.19

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1.5x scale

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.