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Finding the Fourth Proportional to 236,098.80, 354,115.80 and 78,310.80

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Solution

The fourth proportional to 236,098.80, 354,115.80 and 78,310.80 is: 117,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,098.80 : 354,115.80 = 78,310.80 : x
  2. Step 2: Convert to fraction form
    236,098.80/354,115.80 = 78,310.80/x
  3. Step 3: Cross multiply
    236,098.80x = 354,115.80 × 78,310.80
  4. Step 4: Simplify right side
    236,098.80x = 27,731,091,590.64
  5. Step 5: Solve for x
    x = 27,731,091,590.64/236,098.80
  6. Step 6: Final answer
    x = 117,455.45

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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.