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Finding the Fourth Proportional to 78,561.08, 117,748 and 54,739.66

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Solution

The fourth proportional to 78,561.08, 117,748 and 54,739.66 is: 82,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,561.08 : 117,748 = 54,739.66 : x
  2. Step 2: Convert to fraction form
    78,561.08/117,748 = 54,739.66/x
  3. Step 3: Cross multiply
    78,561.08x = 117,748 × 54,739.66
  4. Step 4: Simplify right side
    78,561.08x = 6,445,485,485.68
  5. Step 5: Solve for x
    x = 6,445,485,485.68/78,561.08
  6. Step 6: Final answer
    x = 82,044.26

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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.