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Finding the Fourth Proportional to 76,628.80, 114,874.80 and 29,870.80

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Solution

The fourth proportional to 76,628.80, 114,874.80 and 29,870.80 is: 44,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,628.80 : 114,874.80 = 29,870.80 : x
  2. Step 2: Convert to fraction form
    76,628.80/114,874.80 = 29,870.80/x
  3. Step 3: Cross multiply
    76,628.80x = 114,874.80 × 29,870.80
  4. Step 4: Simplify right side
    76,628.80x = 3,431,402,175.84
  5. Step 5: Solve for x
    x = 3,431,402,175.84/76,628.80
  6. Step 6: Final answer
    x = 44,779.54

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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.