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Finding the Fourth Proportional to 109,883.78, 165,649.25 and 102,559.98

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Solution

The fourth proportional to 109,883.78, 165,649.25 and 102,559.98 is: 154,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,883.78 : 165,649.25 = 102,559.98 : x
  2. Step 2: Convert to fraction form
    109,883.78/165,649.25 = 102,559.98/x
  3. Step 3: Cross multiply
    109,883.78x = 165,649.25 × 102,559.98
  4. Step 4: Simplify right side
    109,883.78x = 16,988,983,254.22
  5. Step 5: Solve for x
    x = 16,988,983,254.22/109,883.78
  6. Step 6: Final answer
    x = 154,608.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.