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Finding the Fourth Proportional to 145,983.80, 218,911.70 and 67,071.80

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Solution

The fourth proportional to 145,983.80, 218,911.70 and 67,071.80 is: 100,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,983.80 : 218,911.70 = 67,071.80 : x
  2. Step 2: Convert to fraction form
    145,983.80/218,911.70 = 67,071.80/x
  3. Step 3: Cross multiply
    145,983.80x = 218,911.70 × 67,071.80
  4. Step 4: Simplify right side
    145,983.80x = 14,682,801,760.06
  5. Step 5: Solve for x
    x = 14,682,801,760.06/145,983.80
  6. Step 6: Final answer
    x = 100,578.30

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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.