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Finding the Fourth Proportional to 51,402.40, 77,132.40 and 21,815.20

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Solution

The fourth proportional to 51,402.40, 77,132.40 and 21,815.20 is: 32,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.40 : 77,132.40 = 21,815.20 : x
  2. Step 2: Convert to fraction form
    51,402.40/77,132.40 = 21,815.20/x
  3. Step 3: Cross multiply
    51,402.40x = 77,132.40 × 21,815.20
  4. Step 4: Simplify right side
    51,402.40x = 1,682,658,732.48
  5. Step 5: Solve for x
    x = 1,682,658,732.48/51,402.40
  6. Step 6: Final answer
    x = 32,735.02

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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.