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Finding the Fourth Proportional to 52,128, 71,936.64 and 29,772

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Solution

The fourth proportional to 52,128, 71,936.64 and 29,772 is: 41,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128 : 71,936.64 = 29,772 : x
  2. Step 2: Convert to fraction form
    52,128/71,936.64 = 29,772/x
  3. Step 3: Cross multiply
    52,128x = 71,936.64 × 29,772
  4. Step 4: Simplify right side
    52,128x = 2,141,697,646.08
  5. Step 5: Solve for x
    x = 2,141,697,646.08/52,128
  6. Step 6: Final answer
    x = 41,085.36

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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.