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Finding the Fourth Proportional to 81,779.40, 122,669.10 and 76,854.60

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Solution

The fourth proportional to 81,779.40, 122,669.10 and 76,854.60 is: 115,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,779.40 : 122,669.10 = 76,854.60 : x
  2. Step 2: Convert to fraction form
    81,779.40/122,669.10 = 76,854.60/x
  3. Step 3: Cross multiply
    81,779.40x = 122,669.10 × 76,854.60
  4. Step 4: Simplify right side
    81,779.40x = 9,427,684,612.86
  5. Step 5: Solve for x
    x = 9,427,684,612.86/81,779.40
  6. Step 6: Final answer
    x = 115,281.90

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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.