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Finding the Fourth Proportional to 78,291.50, 108,042.27 and 44,757.50

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Solution

The fourth proportional to 78,291.50, 108,042.27 and 44,757.50 is: 61,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.50 : 108,042.27 = 44,757.50 : x
  2. Step 2: Convert to fraction form
    78,291.50/108,042.27 = 44,757.50/x
  3. Step 3: Cross multiply
    78,291.50x = 108,042.27 × 44,757.50
  4. Step 4: Simplify right side
    78,291.50x = 4,835,701,899.53
  5. Step 5: Solve for x
    x = 4,835,701,899.53/78,291.50
  6. Step 6: Final answer
    x = 61,765.35

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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.