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Finding the Fourth Proportional to 76,830.60, 115,364.70 and 41,838.60

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Solution

The fourth proportional to 76,830.60, 115,364.70 and 41,838.60 is: 62,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830.60 : 115,364.70 = 41,838.60 : x
  2. Step 2: Convert to fraction form
    76,830.60/115,364.70 = 41,838.60/x
  3. Step 3: Cross multiply
    76,830.60x = 115,364.70 × 41,838.60
  4. Step 4: Simplify right side
    76,830.60x = 4,826,697,537.42
  5. Step 5: Solve for x
    x = 4,826,697,537.42/76,830.60
  6. Step 6: Final answer
    x = 62,822.59

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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.