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Finding the Fourth Proportional to 76,712.60, 115,080.24 and 39,293.84

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Solution

The fourth proportional to 76,712.60, 115,080.24 and 39,293.84 is: 58,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712.60 : 115,080.24 = 39,293.84 : x
  2. Step 2: Convert to fraction form
    76,712.60/115,080.24 = 39,293.84/x
  3. Step 3: Cross multiply
    76,712.60x = 115,080.24 × 39,293.84
  4. Step 4: Simplify right side
    76,712.60x = 4,521,944,537.72
  5. Step 5: Solve for x
    x = 4,521,944,537.72/76,712.60
  6. Step 6: Final answer
    x = 58,946.57

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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.