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Finding the Fourth Proportional to 92,712.65, 138,724.49 and 55,293.08

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Solution

The fourth proportional to 92,712.65, 138,724.49 and 55,293.08 is: 82,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,712.65 : 138,724.49 = 55,293.08 : x
  2. Step 2: Convert to fraction form
    92,712.65/138,724.49 = 55,293.08/x
  3. Step 3: Cross multiply
    92,712.65x = 138,724.49 × 55,293.08
  4. Step 4: Simplify right side
    92,712.65x = 7,670,503,768.14
  5. Step 5: Solve for x
    x = 7,670,503,768.14/92,712.65
  6. Step 6: Final answer
    x = 82,734.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.