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Finding the Fourth Proportional to 77,971.94, 107,603.22 and 47,773.90

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Solution

The fourth proportional to 77,971.94, 107,603.22 and 47,773.90 is: 65,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.94 : 107,603.22 = 47,773.90 : x
  2. Step 2: Convert to fraction form
    77,971.94/107,603.22 = 47,773.90/x
  3. Step 3: Cross multiply
    77,971.94x = 107,603.22 × 47,773.90
  4. Step 4: Simplify right side
    77,971.94x = 5,140,625,471.96
  5. Step 5: Solve for x
    x = 5,140,625,471.96/77,971.94
  6. Step 6: Final answer
    x = 65,929.17

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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.