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Finding the Fourth Proportional to 137,655.56, 189,965.11 and 77,226.25

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Solution

The fourth proportional to 137,655.56, 189,965.11 and 77,226.25 is: 106,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,655.56 : 189,965.11 = 77,226.25 : x
  2. Step 2: Convert to fraction form
    137,655.56/189,965.11 = 77,226.25/x
  3. Step 3: Cross multiply
    137,655.56x = 189,965.11 × 77,226.25
  4. Step 4: Simplify right side
    137,655.56x = 14,670,293,076.14
  5. Step 5: Solve for x
    x = 14,670,293,076.14/137,655.56
  6. Step 6: Final answer
    x = 106,572.47

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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.