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Finding the Fourth Proportional to 51,453.60, 77,180.40 and 49,412.40

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Solution

The fourth proportional to 51,453.60, 77,180.40 and 49,412.40 is: 74,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,453.60 : 77,180.40 = 49,412.40 : x
  2. Step 2: Convert to fraction form
    51,453.60/77,180.40 = 49,412.40/x
  3. Step 3: Cross multiply
    51,453.60x = 77,180.40 × 49,412.40
  4. Step 4: Simplify right side
    51,453.60x = 3,813,668,796.96
  5. Step 5: Solve for x
    x = 3,813,668,796.96/51,453.60
  6. Step 6: Final answer
    x = 74,118.60

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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.