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Finding the Fourth Proportional to 53,412, 73,707.34 and 29,538.88

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Solution

The fourth proportional to 53,412, 73,707.34 and 29,538.88 is: 40,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,412 : 73,707.34 = 29,538.88 : x
  2. Step 2: Convert to fraction form
    53,412/73,707.34 = 29,538.88/x
  3. Step 3: Cross multiply
    53,412x = 73,707.34 × 29,538.88
  4. Step 4: Simplify right side
    53,412x = 2,177,232,271.38
  5. Step 5: Solve for x
    x = 2,177,232,271.38/53,412
  6. Step 6: Final answer
    x = 40,762.98

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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.