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Finding the Fourth Proportional to 100,590.84, 138,813.03 and 54,649.86

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Solution

The fourth proportional to 100,590.84, 138,813.03 and 54,649.86 is: 75,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,590.84 : 138,813.03 = 54,649.86 : x
  2. Step 2: Convert to fraction form
    100,590.84/138,813.03 = 54,649.86/x
  3. Step 3: Cross multiply
    100,590.84x = 138,813.03 × 54,649.86
  4. Step 4: Simplify right side
    100,590.84x = 7,586,112,655.68
  5. Step 5: Solve for x
    x = 7,586,112,655.68/100,590.84
  6. Step 6: Final answer
    x = 75,415.54

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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.