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Finding the Fourth Proportional to 53,614.61, 80,339.90 and 28,658.20

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Solution

The fourth proportional to 53,614.61, 80,339.90 and 28,658.20 is: 42,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614.61 : 80,339.90 = 28,658.20 : x
  2. Step 2: Convert to fraction form
    53,614.61/80,339.90 = 28,658.20/x
  3. Step 3: Cross multiply
    53,614.61x = 80,339.90 × 28,658.20
  4. Step 4: Simplify right side
    53,614.61x = 2,302,396,922.18
  5. Step 5: Solve for x
    x = 2,302,396,922.18/53,614.61
  6. Step 6: Final answer
    x = 42,943.46

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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.