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Finding the Fourth Proportional to 92,389.20, 138,664.80 and 54,902.40

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Solution

The fourth proportional to 92,389.20, 138,664.80 and 54,902.40 is: 82,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,389.20 : 138,664.80 = 54,902.40 : x
  2. Step 2: Convert to fraction form
    92,389.20/138,664.80 = 54,902.40/x
  3. Step 3: Cross multiply
    92,389.20x = 138,664.80 × 54,902.40
  4. Step 4: Simplify right side
    92,389.20x = 7,613,030,315.52
  5. Step 5: Solve for x
    x = 7,613,030,315.52/92,389.20
  6. Step 6: Final answer
    x = 82,401.73

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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.