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Finding the Fourth Proportional to 48,342, 72,513 and 17,178.48

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Solution

The fourth proportional to 48,342, 72,513 and 17,178.48 is: 25,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,342 : 72,513 = 17,178.48 : x
  2. Step 2: Convert to fraction form
    48,342/72,513 = 17,178.48/x
  3. Step 3: Cross multiply
    48,342x = 72,513 × 17,178.48
  4. Step 4: Simplify right side
    48,342x = 1,245,663,120.24
  5. Step 5: Solve for x
    x = 1,245,663,120.24/48,342
  6. Step 6: Final answer
    x = 25,767.72

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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.