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Finding the Fourth Proportional to 54,289.70, 81,448.95 and 19,225.70

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Solution

The fourth proportional to 54,289.70, 81,448.95 and 19,225.70 is: 28,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,289.70 : 81,448.95 = 19,225.70 : x
  2. Step 2: Convert to fraction form
    54,289.70/81,448.95 = 19,225.70/x
  3. Step 3: Cross multiply
    54,289.70x = 81,448.95 × 19,225.70
  4. Step 4: Simplify right side
    54,289.70x = 1,565,913,078.02
  5. Step 5: Solve for x
    x = 1,565,913,078.02/54,289.70
  6. Step 6: Final answer
    x = 28,843.65

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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.