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Finding the Fourth Proportional to 75,850.80, 113,779.05 and 19,689.45

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Solution

The fourth proportional to 75,850.80, 113,779.05 and 19,689.45 is: 29,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.80 : 113,779.05 = 19,689.45 : x
  2. Step 2: Convert to fraction form
    75,850.80/113,779.05 = 19,689.45/x
  3. Step 3: Cross multiply
    75,850.80x = 113,779.05 × 19,689.45
  4. Step 4: Simplify right side
    75,850.80x = 2,240,246,916.02
  5. Step 5: Solve for x
    x = 2,240,246,916.02/75,850.80
  6. Step 6: Final answer
    x = 29,534.91

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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.