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Finding the Fourth Proportional to 52,200, 72,036 and 29,848.32

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Solution

The fourth proportional to 52,200, 72,036 and 29,848.32 is: 41,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,200 : 72,036 = 29,848.32 : x
  2. Step 2: Convert to fraction form
    52,200/72,036 = 29,848.32/x
  3. Step 3: Cross multiply
    52,200x = 72,036 × 29,848.32
  4. Step 4: Simplify right side
    52,200x = 2,150,153,579.52
  5. Step 5: Solve for x
    x = 2,150,153,579.52/52,200
  6. Step 6: Final answer
    x = 41,190.68

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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.