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Finding the Fourth Proportional to 74,200.86, 102,396.87 and 40,666.86

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Solution

The fourth proportional to 74,200.86, 102,396.87 and 40,666.86 is: 56,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200.86 : 102,396.87 = 40,666.86 : x
  2. Step 2: Convert to fraction form
    74,200.86/102,396.87 = 40,666.86/x
  3. Step 3: Cross multiply
    74,200.86x = 102,396.87 × 40,666.86
  4. Step 4: Simplify right side
    74,200.86x = 4,164,159,176.73
  5. Step 5: Solve for x
    x = 4,164,159,176.73/74,200.86
  6. Step 6: Final answer
    x = 56,120.09

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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.