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Finding the Fourth Proportional to 74,605.76, 102,956.64 and 41,072

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Solution

The fourth proportional to 74,605.76, 102,956.64 and 41,072 is: 56,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,605.76 : 102,956.64 = 41,072 : x
  2. Step 2: Convert to fraction form
    74,605.76/102,956.64 = 41,072/x
  3. Step 3: Cross multiply
    74,605.76x = 102,956.64 × 41,072
  4. Step 4: Simplify right side
    74,605.76x = 4,228,635,118.08
  5. Step 5: Solve for x
    x = 4,228,635,118.08/74,605.76
  6. Step 6: Final answer
    x = 56,679.74

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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.