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Finding the Fourth Proportional to 75,990.53, 113,985.66 and 19,830.40

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Solution

The fourth proportional to 75,990.53, 113,985.66 and 19,830.40 is: 29,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,990.53 : 113,985.66 = 19,830.40 : x
  2. Step 2: Convert to fraction form
    75,990.53/113,985.66 = 19,830.40/x
  3. Step 3: Cross multiply
    75,990.53x = 113,985.66 × 19,830.40
  4. Step 4: Simplify right side
    75,990.53x = 2,260,381,232.06
  5. Step 5: Solve for x
    x = 2,260,381,232.06/75,990.53
  6. Step 6: Final answer
    x = 29,745.56

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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.