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Finding the Fourth Proportional to 97,364.20, 145,938.30 and 38,180.20

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Solution

The fourth proportional to 97,364.20, 145,938.30 and 38,180.20 is: 57,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,364.20 : 145,938.30 = 38,180.20 : x
  2. Step 2: Convert to fraction form
    97,364.20/145,938.30 = 38,180.20/x
  3. Step 3: Cross multiply
    97,364.20x = 145,938.30 × 38,180.20
  4. Step 4: Simplify right side
    97,364.20x = 5,571,953,481.66
  5. Step 5: Solve for x
    x = 5,571,953,481.66/97,364.20
  6. Step 6: Final answer
    x = 57,227.95

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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.