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Finding the Fourth Proportional to 77,157.47, 115,745.45 and 27,227.25

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Solution

The fourth proportional to 77,157.47, 115,745.45 and 27,227.25 is: 40,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157.47 : 115,745.45 = 27,227.25 : x
  2. Step 2: Convert to fraction form
    77,157.47/115,745.45 = 27,227.25/x
  3. Step 3: Cross multiply
    77,157.47x = 115,745.45 × 27,227.25
  4. Step 4: Simplify right side
    77,157.47x = 3,151,430,167.38
  5. Step 5: Solve for x
    x = 3,151,430,167.38/77,157.47
  6. Step 6: Final answer
    x = 40,844.14

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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.