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Finding the Fourth Proportional to 78,354.74, 117,540.32 and 25,768.33

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Solution

The fourth proportional to 78,354.74, 117,540.32 and 25,768.33 is: 38,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354.74 : 117,540.32 = 25,768.33 : x
  2. Step 2: Convert to fraction form
    78,354.74/117,540.32 = 25,768.33/x
  3. Step 3: Cross multiply
    78,354.74x = 117,540.32 × 25,768.33
  4. Step 4: Simplify right side
    78,354.74x = 3,028,817,331.37
  5. Step 5: Solve for x
    x = 3,028,817,331.37/78,354.74
  6. Step 6: Final answer
    x = 38,655.19

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1.5x scale

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.