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Finding the Fourth Proportional to 106,544.52, 159,664.47 and 78,242.58

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Solution

The fourth proportional to 106,544.52, 159,664.47 and 78,242.58 is: 117,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,544.52 : 159,664.47 = 78,242.58 : x
  2. Step 2: Convert to fraction form
    106,544.52/159,664.47 = 78,242.58/x
  3. Step 3: Cross multiply
    106,544.52x = 159,664.47 × 78,242.58
  4. Step 4: Simplify right side
    106,544.52x = 12,492,560,067.13
  5. Step 5: Solve for x
    x = 12,492,560,067.13/106,544.52
  6. Step 6: Final answer
    x = 117,252.02

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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.