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Finding the Fourth Proportional to 137,497.75, 189,754.37 and 77,087.77

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Solution

The fourth proportional to 137,497.75, 189,754.37 and 77,087.77 is: 106,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,497.75 : 189,754.37 = 77,087.77 : x
  2. Step 2: Convert to fraction form
    137,497.75/189,754.37 = 77,087.77/x
  3. Step 3: Cross multiply
    137,497.75x = 189,754.37 × 77,087.77
  4. Step 4: Simplify right side
    137,497.75x = 14,627,740,845.62
  5. Step 5: Solve for x
    x = 14,627,740,845.62/137,497.75
  6. Step 6: Final answer
    x = 106,385.31

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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.