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Finding the Fourth Proportional to 53,169.81, 79,679.46 and 29,487.78

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Solution

The fourth proportional to 53,169.81, 79,679.46 and 29,487.78 is: 44,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,169.81 : 79,679.46 = 29,487.78 : x
  2. Step 2: Convert to fraction form
    53,169.81/79,679.46 = 29,487.78/x
  3. Step 3: Cross multiply
    53,169.81x = 79,679.46 × 29,487.78
  4. Step 4: Simplify right side
    53,169.81x = 2,349,570,387.00
  5. Step 5: Solve for x
    x = 2,349,570,387.00/53,169.81
  6. Step 6: Final answer
    x = 44,189.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.