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Finding the Fourth Proportional to 81,617.80, 122,426.70 and 46,625.80

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Solution

The fourth proportional to 81,617.80, 122,426.70 and 46,625.80 is: 69,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,617.80 : 122,426.70 = 46,625.80 : x
  2. Step 2: Convert to fraction form
    81,617.80/122,426.70 = 46,625.80/x
  3. Step 3: Cross multiply
    81,617.80x = 122,426.70 × 46,625.80
  4. Step 4: Simplify right side
    81,617.80x = 5,708,242,828.86
  5. Step 5: Solve for x
    x = 5,708,242,828.86/81,617.80
  6. Step 6: Final answer
    x = 69,938.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.