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Finding the Fourth Proportional to 30,670.80, 45,929.88 and 25,137.84

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Solution

The fourth proportional to 30,670.80, 45,929.88 and 25,137.84 is: 37,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.80 : 45,929.88 = 25,137.84 : x
  2. Step 2: Convert to fraction form
    30,670.80/45,929.88 = 25,137.84/x
  3. Step 3: Cross multiply
    30,670.80x = 45,929.88 × 25,137.84
  4. Step 4: Simplify right side
    30,670.80x = 1,154,577,974.66
  5. Step 5: Solve for x
    x = 1,154,577,974.66/30,670.80
  6. Step 6: Final answer
    x = 37,644.21

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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.