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Finding the Fourth Proportional to 81,020.64, 120,609.20 and 77,203.68

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Solution

The fourth proportional to 81,020.64, 120,609.20 and 77,203.68 is: 114,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,020.64 : 120,609.20 = 77,203.68 : x
  2. Step 2: Convert to fraction form
    81,020.64/120,609.20 = 77,203.68/x
  3. Step 3: Cross multiply
    81,020.64x = 120,609.20 × 77,203.68
  4. Step 4: Simplify right side
    81,020.64x = 9,311,474,081.86
  5. Step 5: Solve for x
    x = 9,311,474,081.86/81,020.64
  6. Step 6: Final answer
    x = 114,927.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.