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Finding the Fourth Proportional to 85,090.50, 117,454.05 and 51,556.50

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Solution

The fourth proportional to 85,090.50, 117,454.05 and 51,556.50 is: 71,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,090.50 : 117,454.05 = 51,556.50 : x
  2. Step 2: Convert to fraction form
    85,090.50/117,454.05 = 51,556.50/x
  3. Step 3: Cross multiply
    85,090.50x = 117,454.05 × 51,556.50
  4. Step 4: Simplify right side
    85,090.50x = 6,055,519,728.83
  5. Step 5: Solve for x
    x = 6,055,519,728.83/85,090.50
  6. Step 6: Final answer
    x = 71,165.64

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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.