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Finding the Fourth Proportional to 75,744.01, 113,648.84 and 40,642.66

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Solution

The fourth proportional to 75,744.01, 113,648.84 and 40,642.66 is: 60,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,744.01 : 113,648.84 = 40,642.66 : x
  2. Step 2: Convert to fraction form
    75,744.01/113,648.84 = 40,642.66/x
  3. Step 3: Cross multiply
    75,744.01x = 113,648.84 × 40,642.66
  4. Step 4: Simplify right side
    75,744.01x = 4,618,991,254.77
  5. Step 5: Solve for x
    x = 4,618,991,254.77/75,744.01
  6. Step 6: Final answer
    x = 60,981.60

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