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Finding the Fourth Proportional to 45,418, 68,130.84 and 12,586

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Solution

The fourth proportional to 45,418, 68,130.84 and 12,586 is: 18,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,418 : 68,130.84 = 12,586 : x
  2. Step 2: Convert to fraction form
    45,418/68,130.84 = 12,586/x
  3. Step 3: Cross multiply
    45,418x = 68,130.84 × 12,586
  4. Step 4: Simplify right side
    45,418x = 857,494,752.24
  5. Step 5: Solve for x
    x = 857,494,752.24/45,418
  6. Step 6: Final answer
    x = 18,880.06

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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.