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Finding the Fourth Proportional to 78,846.64, 118,288.78 and 26,256.58

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Solution

The fourth proportional to 78,846.64, 118,288.78 and 26,256.58 is: 39,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846.64 : 118,288.78 = 26,256.58 : x
  2. Step 2: Convert to fraction form
    78,846.64/118,288.78 = 26,256.58/x
  3. Step 3: Cross multiply
    78,846.64x = 118,288.78 × 26,256.58
  4. Step 4: Simplify right side
    78,846.64x = 3,105,858,815.17
  5. Step 5: Solve for x
    x = 3,105,858,815.17/78,846.64
  6. Step 6: Final answer
    x = 39,391.14

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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.