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Finding the Fourth Proportional to 48,006.40, 71,978.76 and 19,945.84

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Solution

The fourth proportional to 48,006.40, 71,978.76 and 19,945.84 is: 29,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,006.40 : 71,978.76 = 19,945.84 : x
  2. Step 2: Convert to fraction form
    48,006.40/71,978.76 = 19,945.84/x
  3. Step 3: Cross multiply
    48,006.40x = 71,978.76 × 19,945.84
  4. Step 4: Simplify right side
    48,006.40x = 1,435,676,700.28
  5. Step 5: Solve for x
    x = 1,435,676,700.28/48,006.40
  6. Step 6: Final answer
    x = 29,905.95

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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.