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Finding the Fourth Proportional to 145,721.30, 218,679.15 and 66,794.90

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Solution

The fourth proportional to 145,721.30, 218,679.15 and 66,794.90 is: 100,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,721.30 : 218,679.15 = 66,794.90 : x
  2. Step 2: Convert to fraction form
    145,721.30/218,679.15 = 66,794.90/x
  3. Step 3: Cross multiply
    145,721.30x = 218,679.15 × 66,794.90
  4. Step 4: Simplify right side
    145,721.30x = 14,606,651,956.34
  5. Step 5: Solve for x
    x = 14,606,651,956.34/145,721.30
  6. Step 6: Final answer
    x = 100,236.90

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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.