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Finding the Fourth Proportional to 76,902.51, 115,342.25 and 63,838.83

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Solution

The fourth proportional to 76,902.51, 115,342.25 and 63,838.83 is: 95,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902.51 : 115,342.25 = 63,838.83 : x
  2. Step 2: Convert to fraction form
    76,902.51/115,342.25 = 63,838.83/x
  3. Step 3: Cross multiply
    76,902.51x = 115,342.25 × 63,838.83
  4. Step 4: Simplify right side
    76,902.51x = 7,363,313,970.37
  5. Step 5: Solve for x
    x = 7,363,313,970.37/76,902.51
  6. Step 6: Final answer
    x = 95,748.68

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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.