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Finding the Fourth Proportional to 137,139.52, 189,270.04 and 76,713.52

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Solution

The fourth proportional to 137,139.52, 189,270.04 and 76,713.52 is: 105,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,139.52 : 189,270.04 = 76,713.52 : x
  2. Step 2: Convert to fraction form
    137,139.52/189,270.04 = 76,713.52/x
  3. Step 3: Cross multiply
    137,139.52x = 189,270.04 × 76,713.52
  4. Step 4: Simplify right side
    137,139.52x = 14,519,570,998.94
  5. Step 5: Solve for x
    x = 14,519,570,998.94/137,139.52
  6. Step 6: Final answer
    x = 105,874.45

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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.