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Finding the Fourth Proportional to 25,563.20, 38,308.80 and 20,307.20

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Solution

The fourth proportional to 25,563.20, 38,308.80 and 20,307.20 is: 30,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.20 : 38,308.80 = 20,307.20 : x
  2. Step 2: Convert to fraction form
    25,563.20/38,308.80 = 20,307.20/x
  3. Step 3: Cross multiply
    25,563.20x = 38,308.80 × 20,307.20
  4. Step 4: Simplify right side
    25,563.20x = 777,944,463.36
  5. Step 5: Solve for x
    x = 777,944,463.36/25,563.20
  6. Step 6: Final answer
    x = 30,432.20

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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.