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Finding the Fourth Proportional to 53,430, 73,727.73 and 29,556.06

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Solution

The fourth proportional to 53,430, 73,727.73 and 29,556.06 is: 40,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,430 : 73,727.73 = 29,556.06 : x
  2. Step 2: Convert to fraction form
    53,430/73,727.73 = 29,556.06/x
  3. Step 3: Cross multiply
    53,430x = 73,727.73 × 29,556.06
  4. Step 4: Simplify right side
    53,430x = 2,179,101,211.54
  5. Step 5: Solve for x
    x = 2,179,101,211.54/53,430
  6. Step 6: Final answer
    x = 40,784.23

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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.