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Finding the Fourth Proportional to 85,342.17, 117,772.20 and 47,616.42

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Solution

The fourth proportional to 85,342.17, 117,772.20 and 47,616.42 is: 65,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,342.17 : 117,772.20 = 47,616.42 : x
  2. Step 2: Convert to fraction form
    85,342.17/117,772.20 = 47,616.42/x
  3. Step 3: Cross multiply
    85,342.17x = 117,772.20 × 47,616.42
  4. Step 4: Simplify right side
    85,342.17x = 5,607,890,539.52
  5. Step 5: Solve for x
    x = 5,607,890,539.52/85,342.17
  6. Step 6: Final answer
    x = 65,710.66

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