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Finding the Fourth Proportional to 53,009.72, 73,154.76 and 29,137

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Solution

The fourth proportional to 53,009.72, 73,154.76 and 29,137 is: 40,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,009.72 : 73,154.76 = 29,137 : x
  2. Step 2: Convert to fraction form
    53,009.72/73,154.76 = 29,137/x
  3. Step 3: Cross multiply
    53,009.72x = 73,154.76 × 29,137
  4. Step 4: Simplify right side
    53,009.72x = 2,131,510,242.12
  5. Step 5: Solve for x
    x = 2,131,510,242.12/53,009.72
  6. Step 6: Final answer
    x = 40,209.80

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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.