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Finding the Fourth Proportional to 155,773.94, 214,968.26 and 84,153.98

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Solution

The fourth proportional to 155,773.94, 214,968.26 and 84,153.98 is: 116,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,773.94 : 214,968.26 = 84,153.98 : x
  2. Step 2: Convert to fraction form
    155,773.94/214,968.26 = 84,153.98/x
  3. Step 3: Cross multiply
    155,773.94x = 214,968.26 × 84,153.98
  4. Step 4: Simplify right side
    155,773.94x = 18,090,434,769.33
  5. Step 5: Solve for x
    x = 18,090,434,769.33/155,773.94
  6. Step 6: Final answer
    x = 116,132.62

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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.