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Finding the Fourth Proportional to 137,235.39, 189,384.81 and 76,806.03

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Solution

The fourth proportional to 137,235.39, 189,384.81 and 76,806.03 is: 105,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,235.39 : 189,384.81 = 76,806.03 : x
  2. Step 2: Convert to fraction form
    137,235.39/189,384.81 = 76,806.03/x
  3. Step 3: Cross multiply
    137,235.39x = 189,384.81 × 76,806.03
  4. Step 4: Simplify right side
    137,235.39x = 14,545,896,396.62
  5. Step 5: Solve for x
    x = 14,545,896,396.62/137,235.39
  6. Step 6: Final answer
    x = 105,992.31

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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.