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Finding the Fourth Proportional to 53,648.92, 80,387.52 and 45,289.72

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Solution

The fourth proportional to 53,648.92, 80,387.52 and 45,289.72 is: 67,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,648.92 : 80,387.52 = 45,289.72 : x
  2. Step 2: Convert to fraction form
    53,648.92/80,387.52 = 45,289.72/x
  3. Step 3: Cross multiply
    53,648.92x = 80,387.52 × 45,289.72
  4. Step 4: Simplify right side
    53,648.92x = 3,640,728,272.29
  5. Step 5: Solve for x
    x = 3,640,728,272.29/53,648.92
  6. Step 6: Final answer
    x = 67,862.10

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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.