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Finding the Fourth Proportional to 74,210.86, 102,410.67 and 40,676.86

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Solution

The fourth proportional to 74,210.86, 102,410.67 and 40,676.86 is: 56,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,210.86 : 102,410.67 = 40,676.86 : x
  2. Step 2: Convert to fraction form
    74,210.86/102,410.67 = 40,676.86/x
  3. Step 3: Cross multiply
    74,210.86x = 102,410.67 × 40,676.86
  4. Step 4: Simplify right side
    74,210.86x = 4,165,744,486.10
  5. Step 5: Solve for x
    x = 4,165,744,486.10/74,210.86
  6. Step 6: Final answer
    x = 56,133.89

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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.