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Finding the Fourth Proportional to 85,699.16, 118,250.78 and 53,845.50

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Solution

The fourth proportional to 85,699.16, 118,250.78 and 53,845.50 is: 74,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,699.16 : 118,250.78 = 53,845.50 : x
  2. Step 2: Convert to fraction form
    85,699.16/118,250.78 = 53,845.50/x
  3. Step 3: Cross multiply
    85,699.16x = 118,250.78 × 53,845.50
  4. Step 4: Simplify right side
    85,699.16x = 6,367,272,105.26
  5. Step 5: Solve for x
    x = 6,367,272,105.26/85,699.16
  6. Step 6: Final answer
    x = 74,297.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.