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Finding the Fourth Proportional to 78,369.96, 117,567 and 25,767.12

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Solution

The fourth proportional to 78,369.96, 117,567 and 25,767.12 is: 38,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,369.96 : 117,567 = 25,767.12 : x
  2. Step 2: Convert to fraction form
    78,369.96/117,567 = 25,767.12/x
  3. Step 3: Cross multiply
    78,369.96x = 117,567 × 25,767.12
  4. Step 4: Simplify right side
    78,369.96x = 3,029,362,997.04
  5. Step 5: Solve for x
    x = 3,029,362,997.04/78,369.96
  6. Step 6: Final answer
    x = 38,654.65

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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.