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Finding the Fourth Proportional to 78,015.39, 117,041.54 and 25,424.88

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Solution

The fourth proportional to 78,015.39, 117,041.54 and 25,424.88 is: 38,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.39 : 117,041.54 = 25,424.88 : x
  2. Step 2: Convert to fraction form
    78,015.39/117,041.54 = 25,424.88/x
  3. Step 3: Cross multiply
    78,015.39x = 117,041.54 × 25,424.88
  4. Step 4: Simplify right side
    78,015.39x = 2,975,767,109.52
  5. Step 5: Solve for x
    x = 2,975,767,109.52/78,015.39
  6. Step 6: Final answer
    x = 38,143.33

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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.