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Finding the Fourth Proportional to 45,462.40, 68,078.40 and 36,246.40

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Solution

The fourth proportional to 45,462.40, 68,078.40 and 36,246.40 is: 54,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,462.40 : 68,078.40 = 36,246.40 : x
  2. Step 2: Convert to fraction form
    45,462.40/68,078.40 = 36,246.40/x
  3. Step 3: Cross multiply
    45,462.40x = 68,078.40 × 36,246.40
  4. Step 4: Simplify right side
    45,462.40x = 2,467,596,917.76
  5. Step 5: Solve for x
    x = 2,467,596,917.76/45,462.40
  6. Step 6: Final answer
    x = 54,277.75

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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.