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Finding the Fourth Proportional to 53,772, 74,205.36 and 30,220

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Solution

The fourth proportional to 53,772, 74,205.36 and 30,220 is: 41,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,772 : 74,205.36 = 30,220 : x
  2. Step 2: Convert to fraction form
    53,772/74,205.36 = 30,220/x
  3. Step 3: Cross multiply
    53,772x = 74,205.36 × 30,220
  4. Step 4: Simplify right side
    53,772x = 2,242,485,979.20
  5. Step 5: Solve for x
    x = 2,242,485,979.20/53,772
  6. Step 6: Final answer
    x = 41,703.60

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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.