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Finding the Fourth Proportional to 83,779.90, 125,651.42 and 53,703.78

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Solution

The fourth proportional to 83,779.90, 125,651.42 and 53,703.78 is: 80,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,779.90 : 125,651.42 = 53,703.78 : x
  2. Step 2: Convert to fraction form
    83,779.90/125,651.42 = 53,703.78/x
  3. Step 3: Cross multiply
    83,779.90x = 125,651.42 × 53,703.78
  4. Step 4: Simplify right side
    83,779.90x = 6,747,956,216.37
  5. Step 5: Solve for x
    x = 6,747,956,216.37/83,779.90
  6. Step 6: Final answer
    x = 80,543.86

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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.