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Finding the Fourth Proportional to 53,730.47, 80,201.34 and 49,772

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Solution

The fourth proportional to 53,730.47, 80,201.34 and 49,772 is: 74,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,730.47 : 80,201.34 = 49,772 : x
  2. Step 2: Convert to fraction form
    53,730.47/80,201.34 = 49,772/x
  3. Step 3: Cross multiply
    53,730.47x = 80,201.34 × 49,772
  4. Step 4: Simplify right side
    53,730.47x = 3,991,781,094.48
  5. Step 5: Solve for x
    x = 3,991,781,094.48/53,730.47
  6. Step 6: Final answer
    x = 74,292.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.