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Finding the Fourth Proportional to 51,761.60, 77,642.40 and 51,372.80

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Solution

The fourth proportional to 51,761.60, 77,642.40 and 51,372.80 is: 77,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,761.60 : 77,642.40 = 51,372.80 : x
  2. Step 2: Convert to fraction form
    51,761.60/77,642.40 = 51,372.80/x
  3. Step 3: Cross multiply
    51,761.60x = 77,642.40 × 51,372.80
  4. Step 4: Simplify right side
    51,761.60x = 3,988,707,486.72
  5. Step 5: Solve for x
    x = 3,988,707,486.72/51,761.60
  6. Step 6: Final answer
    x = 77,059.20

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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.