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Finding the Fourth Proportional to 137,639.88, 189,957.42 and 77,226.84

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Solution

The fourth proportional to 137,639.88, 189,957.42 and 77,226.84 is: 106,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,639.88 : 189,957.42 = 77,226.84 : x
  2. Step 2: Convert to fraction form
    137,639.88/189,957.42 = 77,226.84/x
  3. Step 3: Cross multiply
    137,639.88x = 189,957.42 × 77,226.84
  4. Step 4: Simplify right side
    137,639.88x = 14,669,811,281.15
  5. Step 5: Solve for x
    x = 14,669,811,281.15/137,639.88
  6. Step 6: Final answer
    x = 106,581.11

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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.