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Finding the Fourth Proportional to 105,396.97, 145,444.74 and 57,649.30

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Solution

The fourth proportional to 105,396.97, 145,444.74 and 57,649.30 is: 79,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,396.97 : 145,444.74 = 57,649.30 : x
  2. Step 2: Convert to fraction form
    105,396.97/145,444.74 = 57,649.30/x
  3. Step 3: Cross multiply
    105,396.97x = 145,444.74 × 57,649.30
  4. Step 4: Simplify right side
    105,396.97x = 8,384,787,449.68
  5. Step 5: Solve for x
    x = 8,384,787,449.68/105,396.97
  6. Step 6: Final answer
    x = 79,554.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.