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Finding the Fourth Proportional to 85,403.88, 117,855.14 and 47,166.21

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Solution

The fourth proportional to 85,403.88, 117,855.14 and 47,166.21 is: 65,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,403.88 : 117,855.14 = 47,166.21 : x
  2. Step 2: Convert to fraction form
    85,403.88/117,855.14 = 47,166.21/x
  3. Step 3: Cross multiply
    85,403.88x = 117,855.14 × 47,166.21
  4. Step 4: Simplify right side
    85,403.88x = 5,558,780,046.99
  5. Step 5: Solve for x
    x = 5,558,780,046.99/85,403.88
  6. Step 6: Final answer
    x = 65,088.14

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1.5x scale

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.