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Finding the Fourth Proportional to 76,506.77, 114,759.92 and 20,346.83

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Solution

The fourth proportional to 76,506.77, 114,759.92 and 20,346.83 is: 30,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.77 : 114,759.92 = 20,346.83 : x
  2. Step 2: Convert to fraction form
    76,506.77/114,759.92 = 20,346.83/x
  3. Step 3: Cross multiply
    76,506.77x = 114,759.92 × 20,346.83
  4. Step 4: Simplify right side
    76,506.77x = 2,335,000,068.26
  5. Step 5: Solve for x
    x = 2,335,000,068.26/76,506.77
  6. Step 6: Final answer
    x = 30,520.18

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1.5x scale

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.