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Finding the Fourth Proportional to 56,805.52, 78,330.08 and 38,668

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Solution

The fourth proportional to 56,805.52, 78,330.08 and 38,668 is: 53,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,805.52 : 78,330.08 = 38,668 : x
  2. Step 2: Convert to fraction form
    56,805.52/78,330.08 = 38,668/x
  3. Step 3: Cross multiply
    56,805.52x = 78,330.08 × 38,668
  4. Step 4: Simplify right side
    56,805.52x = 3,028,867,533.44
  5. Step 5: Solve for x
    x = 3,028,867,533.44/56,805.52
  6. Step 6: Final answer
    x = 53,319.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.