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Finding the Fourth Proportional to 48,384, 72,574.38 and 19,920.06

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Solution

The fourth proportional to 48,384, 72,574.38 and 19,920.06 is: 29,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384 : 72,574.38 = 19,920.06 : x
  2. Step 2: Convert to fraction form
    48,384/72,574.38 = 19,920.06/x
  3. Step 3: Cross multiply
    48,384x = 72,574.38 × 19,920.06
  4. Step 4: Simplify right side
    48,384x = 1,445,686,004.06
  5. Step 5: Solve for x
    x = 1,445,686,004.06/48,384
  6. Step 6: Final answer
    x = 29,879.42

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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.