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Finding the Fourth Proportional to 115,770.88, 159,709.92 and 74,948.20

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Solution

The fourth proportional to 115,770.88, 159,709.92 and 74,948.20 is: 103,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,770.88 : 159,709.92 = 74,948.20 : x
  2. Step 2: Convert to fraction form
    115,770.88/159,709.92 = 74,948.20/x
  3. Step 3: Cross multiply
    115,770.88x = 159,709.92 × 74,948.20
  4. Step 4: Simplify right side
    115,770.88x = 11,969,971,026.14
  5. Step 5: Solve for x
    x = 11,969,971,026.14/115,770.88
  6. Step 6: Final answer
    x = 103,393.63

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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.