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Finding the Fourth Proportional to 81,152.67, 121,730.35 and 36,779.80

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Solution

The fourth proportional to 81,152.67, 121,730.35 and 36,779.80 is: 55,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,152.67 : 121,730.35 = 36,779.80 : x
  2. Step 2: Convert to fraction form
    81,152.67/121,730.35 = 36,779.80/x
  3. Step 3: Cross multiply
    81,152.67x = 121,730.35 × 36,779.80
  4. Step 4: Simplify right side
    81,152.67x = 4,477,217,926.93
  5. Step 5: Solve for x
    x = 4,477,217,926.93/81,152.67
  6. Step 6: Final answer
    x = 55,170.31

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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.