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Finding the Fourth Proportional to 78,002.97, 117,004.37 and 25,412.37

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Solution

The fourth proportional to 78,002.97, 117,004.37 and 25,412.37 is: 38,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.97 : 117,004.37 = 25,412.37 : x
  2. Step 2: Convert to fraction form
    78,002.97/117,004.37 = 25,412.37/x
  3. Step 3: Cross multiply
    78,002.97x = 117,004.37 × 25,412.37
  4. Step 4: Simplify right side
    78,002.97x = 2,973,358,215.00
  5. Step 5: Solve for x
    x = 2,973,358,215.00/78,002.97
  6. Step 6: Final answer
    x = 38,118.53

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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.