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Finding the Fourth Proportional to 47,129, 65,039.54 and 25,909.80

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Solution

The fourth proportional to 47,129, 65,039.54 and 25,909.80 is: 35,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,129 : 65,039.54 = 25,909.80 : x
  2. Step 2: Convert to fraction form
    47,129/65,039.54 = 25,909.80/x
  3. Step 3: Cross multiply
    47,129x = 65,039.54 × 25,909.80
  4. Step 4: Simplify right side
    47,129x = 1,685,161,473.49
  5. Step 5: Solve for x
    x = 1,685,161,473.49/47,129
  6. Step 6: Final answer
    x = 35,756.36

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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.