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Finding the Fourth Proportional to 92,381.40, 138,225.42 and 54,803.88

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Solution

The fourth proportional to 92,381.40, 138,225.42 and 54,803.88 is: 82,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,381.40 : 138,225.42 = 54,803.88 : x
  2. Step 2: Convert to fraction form
    92,381.40/138,225.42 = 54,803.88/x
  3. Step 3: Cross multiply
    92,381.40x = 138,225.42 × 54,803.88
  4. Step 4: Simplify right side
    92,381.40x = 7,575,289,330.63
  5. Step 5: Solve for x
    x = 7,575,289,330.63/92,381.40
  6. Step 6: Final answer
    x = 82,000.16

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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.