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Finding the Fourth Proportional to 76,411.67, 114,612.08 and 20,250.53

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Solution

The fourth proportional to 76,411.67, 114,612.08 and 20,250.53 is: 30,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.67 : 114,612.08 = 20,250.53 : x
  2. Step 2: Convert to fraction form
    76,411.67/114,612.08 = 20,250.53/x
  3. Step 3: Cross multiply
    76,411.67x = 114,612.08 × 20,250.53
  4. Step 4: Simplify right side
    76,411.67x = 2,320,954,690.09
  5. Step 5: Solve for x
    x = 2,320,954,690.09/76,411.67
  6. Step 6: Final answer
    x = 30,374.35

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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.