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Finding the Fourth Proportional to 74,476, 102,776.88 and 40,942

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Solution

The fourth proportional to 74,476, 102,776.88 and 40,942 is: 56,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,476 : 102,776.88 = 40,942 : x
  2. Step 2: Convert to fraction form
    74,476/102,776.88 = 40,942/x
  3. Step 3: Cross multiply
    74,476x = 102,776.88 × 40,942
  4. Step 4: Simplify right side
    74,476x = 4,207,891,020.96
  5. Step 5: Solve for x
    x = 4,207,891,020.96/74,476
  6. Step 6: Final answer
    x = 56,499.96

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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.