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Finding the Fourth Proportional to 74,460, 102,754.80 and 40,926

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Solution

The fourth proportional to 74,460, 102,754.80 and 40,926 is: 56,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460 : 102,754.80 = 40,926 : x
  2. Step 2: Convert to fraction form
    74,460/102,754.80 = 40,926/x
  3. Step 3: Cross multiply
    74,460x = 102,754.80 × 40,926
  4. Step 4: Simplify right side
    74,460x = 4,205,342,944.80
  5. Step 5: Solve for x
    x = 4,205,342,944.80/74,460
  6. Step 6: Final answer
    x = 56,477.88

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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.