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Finding the Fourth Proportional to 78,566.18, 117,755.51 and 54,744.68

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Solution

The fourth proportional to 78,566.18, 117,755.51 and 54,744.68 is: 82,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,566.18 : 117,755.51 = 54,744.68 : x
  2. Step 2: Convert to fraction form
    78,566.18/117,755.51 = 54,744.68/x
  3. Step 3: Cross multiply
    78,566.18x = 117,755.51 × 54,744.68
  4. Step 4: Simplify right side
    78,566.18x = 6,446,487,733.85
  5. Step 5: Solve for x
    x = 6,446,487,733.85/78,566.18
  6. Step 6: Final answer
    x = 82,051.69

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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.