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Finding the Fourth Proportional to 81,931, 122,782.20 and 61,924.08

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Solution

The fourth proportional to 81,931, 122,782.20 and 61,924.08 is: 92,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,931 : 122,782.20 = 61,924.08 : x
  2. Step 2: Convert to fraction form
    81,931/122,782.20 = 61,924.08/x
  3. Step 3: Cross multiply
    81,931x = 122,782.20 × 61,924.08
  4. Step 4: Simplify right side
    81,931x = 7,603,174,775.38
  5. Step 5: Solve for x
    x = 7,603,174,775.38/81,931
  6. Step 6: Final answer
    x = 92,799.73

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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.