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Finding the Fourth Proportional to 100,363.86, 138,462.62 and 57,914.19

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Solution

The fourth proportional to 100,363.86, 138,462.62 and 57,914.19 is: 79,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,363.86 : 138,462.62 = 57,914.19 : x
  2. Step 2: Convert to fraction form
    100,363.86/138,462.62 = 57,914.19/x
  3. Step 3: Cross multiply
    100,363.86x = 138,462.62 × 57,914.19
  4. Step 4: Simplify right side
    100,363.86x = 8,018,950,193.01
  5. Step 5: Solve for x
    x = 8,018,950,193.01/100,363.86
  6. Step 6: Final answer
    x = 79,898.78

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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.