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Finding the Fourth Proportional to 85,507, 117,998.82 and 47,269

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Solution

The fourth proportional to 85,507, 117,998.82 and 47,269 is: 65,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,507 : 117,998.82 = 47,269 : x
  2. Step 2: Convert to fraction form
    85,507/117,998.82 = 47,269/x
  3. Step 3: Cross multiply
    85,507x = 117,998.82 × 47,269
  4. Step 4: Simplify right side
    85,507x = 5,577,686,222.58
  5. Step 5: Solve for x
    x = 5,577,686,222.58/85,507
  6. Step 6: Final answer
    x = 65,230.76

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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.