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Finding the Fourth Proportional to 81,773.08, 112,830.30 and 47,775.00

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Solution

The fourth proportional to 81,773.08, 112,830.30 and 47,775.00 is: 65,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,773.08 : 112,830.30 = 47,775.00 : x
  2. Step 2: Convert to fraction form
    81,773.08/112,830.30 = 47,775.00/x
  3. Step 3: Cross multiply
    81,773.08x = 112,830.30 × 47,775.00
  4. Step 4: Simplify right side
    81,773.08x = 5,390,467,018.35
  5. Step 5: Solve for x
    x = 5,390,467,018.35/81,773.08
  6. Step 6: Final answer
    x = 65,919.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.