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Finding the Fourth Proportional to 149,323, 223,988.82 and 38,515

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Solution

The fourth proportional to 149,323, 223,988.82 and 38,515 is: 57,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,323 : 223,988.82 = 38,515 : x
  2. Step 2: Convert to fraction form
    149,323/223,988.82 = 38,515/x
  3. Step 3: Cross multiply
    149,323x = 223,988.82 × 38,515
  4. Step 4: Simplify right side
    149,323x = 8,626,929,402.30
  5. Step 5: Solve for x
    x = 8,626,929,402.30/149,323
  6. Step 6: Final answer
    x = 57,773.61

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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.