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Finding the Fourth Proportional to 145,774.21, 218,692 and 82,624.59

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Solution

The fourth proportional to 145,774.21, 218,692 and 82,624.59 is: 123,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,774.21 : 218,692 = 82,624.59 : x
  2. Step 2: Convert to fraction form
    145,774.21/218,692 = 82,624.59/x
  3. Step 3: Cross multiply
    145,774.21x = 218,692 × 82,624.59
  4. Step 4: Simplify right side
    145,774.21x = 18,069,336,836.28
  5. Step 5: Solve for x
    x = 18,069,336,836.28/145,774.21
  6. Step 6: Final answer
    x = 123,954.28

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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.