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Finding the Fourth Proportional to 77,149.59, 115,723.56 and 58,543.89

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Solution

The fourth proportional to 77,149.59, 115,723.56 and 58,543.89 is: 87,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149.59 : 115,723.56 = 58,543.89 : x
  2. Step 2: Convert to fraction form
    77,149.59/115,723.56 = 58,543.89/x
  3. Step 3: Cross multiply
    77,149.59x = 115,723.56 × 58,543.89
  4. Step 4: Simplify right side
    77,149.59x = 6,774,907,367.05
  5. Step 5: Solve for x
    x = 6,774,907,367.05/77,149.59
  6. Step 6: Final answer
    x = 87,815.21

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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.