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Finding the Fourth Proportional to 185,649.90, 256,189.99 and 100,765.14

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Solution

The fourth proportional to 185,649.90, 256,189.99 and 100,765.14 is: 139,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,649.90 : 256,189.99 = 100,765.14 : x
  2. Step 2: Convert to fraction form
    185,649.90/256,189.99 = 100,765.14/x
  3. Step 3: Cross multiply
    185,649.90x = 256,189.99 × 100,765.14
  4. Step 4: Simplify right side
    185,649.90x = 25,815,020,208.95
  5. Step 5: Solve for x
    x = 25,815,020,208.95/185,649.90
  6. Step 6: Final answer
    x = 139,052.16

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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.