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Finding the Fourth Proportional to 49,760.40, 74,671.16 and 19,769.40

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Solution

The fourth proportional to 49,760.40, 74,671.16 and 19,769.40 is: 29,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,760.40 : 74,671.16 = 19,769.40 : x
  2. Step 2: Convert to fraction form
    49,760.40/74,671.16 = 19,769.40/x
  3. Step 3: Cross multiply
    49,760.40x = 74,671.16 × 19,769.40
  4. Step 4: Simplify right side
    49,760.40x = 1,476,204,030.50
  5. Step 5: Solve for x
    x = 1,476,204,030.50/49,760.40
  6. Step 6: Final answer
    x = 29,666.24

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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.