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Finding the Fourth Proportional to 51,381.60, 77,072.40 and 30,645.60

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Solution

The fourth proportional to 51,381.60, 77,072.40 and 30,645.60 is: 45,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381.60 : 77,072.40 = 30,645.60 : x
  2. Step 2: Convert to fraction form
    51,381.60/77,072.40 = 30,645.60/x
  3. Step 3: Cross multiply
    51,381.60x = 77,072.40 × 30,645.60
  4. Step 4: Simplify right side
    51,381.60x = 2,361,929,941.44
  5. Step 5: Solve for x
    x = 2,361,929,941.44/51,381.60
  6. Step 6: Final answer
    x = 45,968.40

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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.