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Finding the Fourth Proportional to 75,383.40, 112,977.90 and 57,765.90

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Solution

The fourth proportional to 75,383.40, 112,977.90 and 57,765.90 is: 86,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,383.40 : 112,977.90 = 57,765.90 : x
  2. Step 2: Convert to fraction form
    75,383.40/112,977.90 = 57,765.90/x
  3. Step 3: Cross multiply
    75,383.40x = 112,977.90 × 57,765.90
  4. Step 4: Simplify right side
    75,383.40x = 6,526,270,073.61
  5. Step 5: Solve for x
    x = 6,526,270,073.61/75,383.40
  6. Step 6: Final answer
    x = 86,574.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.