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Finding the Fourth Proportional to 78,563.73, 117,801.12 and 71,868.77

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Solution

The fourth proportional to 78,563.73, 117,801.12 and 71,868.77 is: 107,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,563.73 : 117,801.12 = 71,868.77 : x
  2. Step 2: Convert to fraction form
    78,563.73/117,801.12 = 71,868.77/x
  3. Step 3: Cross multiply
    78,563.73x = 117,801.12 × 71,868.77
  4. Step 4: Simplify right side
    78,563.73x = 8,466,221,599.02
  5. Step 5: Solve for x
    x = 8,466,221,599.02/78,563.73
  6. Step 6: Final answer
    x = 107,762.47

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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.