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Finding the Fourth Proportional to 76,815.84, 115,223.58 and 21,411.84

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Solution

The fourth proportional to 76,815.84, 115,223.58 and 21,411.84 is: 32,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,815.84 : 115,223.58 = 21,411.84 : x
  2. Step 2: Convert to fraction form
    76,815.84/115,223.58 = 21,411.84/x
  3. Step 3: Cross multiply
    76,815.84x = 115,223.58 × 21,411.84
  4. Step 4: Simplify right side
    76,815.84x = 2,467,148,859.19
  5. Step 5: Solve for x
    x = 2,467,148,859.19/76,815.84
  6. Step 6: Final answer
    x = 32,117.71

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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.