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Finding the Fourth Proportional to 76,337.80, 114,389.92 and 40,804.17

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Solution

The fourth proportional to 76,337.80, 114,389.92 and 40,804.17 is: 61,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,337.80 : 114,389.92 = 40,804.17 : x
  2. Step 2: Convert to fraction form
    76,337.80/114,389.92 = 40,804.17/x
  3. Step 3: Cross multiply
    76,337.80x = 114,389.92 × 40,804.17
  4. Step 4: Simplify right side
    76,337.80x = 4,667,585,741.97
  5. Step 5: Solve for x
    x = 4,667,585,741.97/76,337.80
  6. Step 6: Final answer
    x = 61,143.84

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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.