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Finding the Fourth Proportional to 30,193.97, 45,306 and 13,565.88

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Solution

The fourth proportional to 30,193.97, 45,306 and 13,565.88 is: 20,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.97 : 45,306 = 13,565.88 : x
  2. Step 2: Convert to fraction form
    30,193.97/45,306 = 13,565.88/x
  3. Step 3: Cross multiply
    30,193.97x = 45,306 × 13,565.88
  4. Step 4: Simplify right side
    30,193.97x = 614,615,759.28
  5. Step 5: Solve for x
    x = 614,615,759.28/30,193.97
  6. Step 6: Final answer
    x = 20,355.58

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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.