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Finding the Fourth Proportional to 45,642, 68,463 and 14,477.25

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Solution

The fourth proportional to 45,642, 68,463 and 14,477.25 is: 21,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642 : 68,463 = 14,477.25 : x
  2. Step 2: Convert to fraction form
    45,642/68,463 = 14,477.25/x
  3. Step 3: Cross multiply
    45,642x = 68,463 × 14,477.25
  4. Step 4: Simplify right side
    45,642x = 991,155,966.75
  5. Step 5: Solve for x
    x = 991,155,966.75/45,642
  6. Step 6: Final answer
    x = 21,715.88

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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.