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Finding the Fourth Proportional to 106,616.52, 159,253.56 and 78,285.96

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Solution

The fourth proportional to 106,616.52, 159,253.56 and 78,285.96 is: 116,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,616.52 : 159,253.56 = 78,285.96 : x
  2. Step 2: Convert to fraction form
    106,616.52/159,253.56 = 78,285.96/x
  3. Step 3: Cross multiply
    106,616.52x = 159,253.56 × 78,285.96
  4. Step 4: Simplify right side
    106,616.52x = 12,467,317,828.02
  5. Step 5: Solve for x
    x = 12,467,317,828.02/106,616.52
  6. Step 6: Final answer
    x = 116,936.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.